Exercise algebra.equations.quadratic.approximate

Description
solve a quadratic equation with approximation

Strategy

<label name="quadraticequationstrategy">
  <let>
    <decl var="4">
      <orelse>
        <sequence>
          <orelse>
            <let>
              <decl var="1">
                <choice>
                  <label name="generalform">
                    <choice>
                      <rule name="algebra.equations.quadratic.common-factor"/>
                      <rule name="algebra.equations.quadratic.no-lin"/>
                      <rule name="algebra.equations.quadratic.simpler-poly"/>
                      <rule name="algebra.equations.quadratic.scale" removed="true"/>
                      <rule name="algebra.equations.quadratic.nice-factors"/>
                      <rule name="algebra.equations.coverup.power"/>
                    </choice>
                  </label>
                  <label name="abcform">
                    <rule name="algebra.equations.quadratic.abc"/>
                  </label>
                  <sequence>
                    <rule name="navigator.down"/>
                    <succeed/>
                    <let>
                      <decl var="2">
                        <choice>
                          <var var="1"/>
                          <sequence>
                            <rule name="navigator.right"/>
                            <succeed/>
                            <var var="2"/>
                          </sequence>
                        </choice>
                      </decl>
                      <var var="2"/>
                    </let>
                    <orelse>
                      <rule name="navigator.up"/>
                      <succeed/>
                    </orelse>
                  </sequence>
                </choice>
              </decl>
              <var var="1"/>
            </let>
            <let>
              <decl var="1">
                <choice>
                  <label name="zeroform">
                    <rule name="algebra.equations.quadratic.product-zero"/>
                  </label>
                  <sequence>
                    <rule name="navigator.down"/>
                    <succeed/>
                    <let>
                      <decl var="2">
                        <choice>
                          <var var="1"/>
                          <sequence>
                            <rule name="navigator.right"/>
                            <succeed/>
                            <var var="2"/>
                          </sequence>
                        </choice>
                      </decl>
                      <var var="2"/>
                    </let>
                    <orelse>
                      <rule name="navigator.up"/>
                      <succeed/>
                    </orelse>
                  </sequence>
                </choice>
              </decl>
              <var var="1"/>
            </let>
            <let>
              <decl var="1">
                <choice>
                  <label name="constantform">
                    <choice>
                      <rule name="algebra.equations.coverup.onevar.plus"/>
                      <rule name="algebra.equations.coverup.onevar.minus-left"/>
                      <rule name="algebra.equations.coverup.onevar.minus-right"/>
                      <rule name="algebra.equations.coverup.times"/>
                      <rule name="algebra.equations.coverup.negate"/>
                      <rule name="algebra.equations.coverup.numerator"/>
                      <rule name="algebra.equations.quadratic.square-both"/>
                      <rule name="algebra.equations.quadratic.left-square"/>
                    </choice>
                  </label>
                  <sequence>
                    <rule name="navigator.down"/>
                    <succeed/>
                    <let>
                      <decl var="2">
                        <choice>
                          <var var="1"/>
                          <sequence>
                            <rule name="navigator.right"/>
                            <succeed/>
                            <var var="2"/>
                          </sequence>
                        </choice>
                      </decl>
                      <var var="2"/>
                    </let>
                    <orelse>
                      <rule name="navigator.up"/>
                      <succeed/>
                    </orelse>
                  </sequence>
                </choice>
              </decl>
              <var var="1"/>
            </let>
            <choice>
              <label name="squarerootsimplification" removed="true">
                <rule name="algebra.equations.quadratic.simpler-sqrt"/>
              </label>
              <label name="approximateresult">
                <label name="algebra.equations.quadratic.approx" collapsed="true">
                  <sequence>
                    <let>
                      <decl var="1">
                        <choice>
                          <rule name="algebra.equations.quadratic.approx"/>
                          <sequence>
                            <rule name="navigator.down"/>
                            <succeed/>
                            <let>
                              <decl var="2">
                                <choice>
                                  <var var="1"/>
                                  <sequence>
                                    <rule name="navigator.right"/>
                                    <succeed/>
                                    <var var="2"/>
                                  </sequence>
                                </choice>
                              </decl>
                              <var var="2"/>
                            </let>
                            <orelse>
                              <rule name="navigator.up"/>
                              <succeed/>
                            </orelse>
                          </sequence>
                        </choice>
                      </decl>
                      <var var="1"/>
                    </let>
                    <let>
                      <decl var="3">
                        <orelse>
                          <sequence>
                            <let>
                              <decl var="1">
                                <choice>
                                  <rule name="algebra.equations.quadratic.approx"/>
                                  <sequence>
                                    <rule name="navigator.down"/>
                                    <succeed/>
                                    <let>
                                      <decl var="2">
                                        <choice>
                                          <var var="1"/>
                                          <sequence>
                                            <rule name="navigator.right"/>
                                            <succeed/>
                                            <var var="2"/>
                                          </sequence>
                                        </choice>
                                      </decl>
                                      <var var="2"/>
                                    </let>
                                    <orelse>
                                      <rule name="navigator.up"/>
                                      <succeed/>
                                    </orelse>
                                  </sequence>
                                </choice>
                              </decl>
                              <var var="1"/>
                            </let>
                            <var var="3"/>
                          </sequence>
                          <succeed/>
                        </orelse>
                      </decl>
                      <var var="3"/>
                    </let>
                  </sequence>
                </label>
              </label>
            </choice>
            <label name="topform">
              <orelse>
                <let>
                  <decl var="1">
                    <choice>
                      <rule name="algebra.equations.quadratic.cancel"/>
                      <rule name="algebra.equations.quadratic.same-factor"/>
                      <sequence>
                        <rule name="navigator.down"/>
                        <succeed/>
                        <let>
                          <decl var="2">
                            <choice>
                              <var var="1"/>
                              <sequence>
                                <rule name="navigator.right"/>
                                <succeed/>
                                <var var="2"/>
                              </sequence>
                            </choice>
                          </decl>
                          <var var="2"/>
                        </let>
                        <orelse>
                          <rule name="navigator.up"/>
                          <succeed/>
                        </orelse>
                      </sequence>
                    </choice>
                  </decl>
                  <var var="1"/>
                </let>
                <choice>
                  <let>
                    <decl var="1">
                      <choice>
                        <rule name="algebra.equations.quadratic.same-con-factor"/>
                        <sequence>
                          <rule name="navigator.down"/>
                          <succeed/>
                          <let>
                            <decl var="2">
                              <choice>
                                <var var="1"/>
                                <sequence>
                                  <rule name="navigator.right"/>
                                  <succeed/>
                                  <var var="2"/>
                                </sequence>
                              </choice>
                            </decl>
                            <var var="2"/>
                          </let>
                          <orelse>
                            <rule name="navigator.up"/>
                            <succeed/>
                          </orelse>
                        </sequence>
                      </choice>
                    </decl>
                    <var var="1"/>
                  </let>
                  <label name="algebra.equations.linear.merge" collapsed="true">
                    <sequence>
                      <let>
                        <decl var="1">
                          <choice>
                            <rule name="algebra.equations.linear.merge"/>
                            <sequence>
                              <rule name="navigator.down"/>
                              <succeed/>
                              <let>
                                <decl var="2">
                                  <choice>
                                    <var var="1"/>
                                    <sequence>
                                      <rule name="navigator.right"/>
                                      <succeed/>
                                      <var var="2"/>
                                    </sequence>
                                  </choice>
                                </decl>
                                <var var="2"/>
                              </let>
                              <orelse>
                                <rule name="navigator.up"/>
                                <succeed/>
                              </orelse>
                            </sequence>
                          </choice>
                        </decl>
                        <var var="1"/>
                      </let>
                      <let>
                        <decl var="3">
                          <orelse>
                            <sequence>
                              <let>
                                <decl var="1">
                                  <choice>
                                    <rule name="algebra.equations.linear.merge"/>
                                    <sequence>
                                      <rule name="navigator.down"/>
                                      <succeed/>
                                      <let>
                                        <decl var="2">
                                          <choice>
                                            <var var="1"/>
                                            <sequence>
                                              <rule name="navigator.right"/>
                                              <succeed/>
                                              <var var="2"/>
                                            </sequence>
                                          </choice>
                                        </decl>
                                        <var var="2"/>
                                      </let>
                                      <orelse>
                                        <rule name="navigator.up"/>
                                        <succeed/>
                                      </orelse>
                                    </sequence>
                                  </choice>
                                </decl>
                                <var var="1"/>
                              </let>
                              <var var="3"/>
                            </sequence>
                            <succeed/>
                          </orelse>
                        </decl>
                        <var var="3"/>
                      </let>
                    </sequence>
                  </label>
                  <let>
                    <decl var="1">
                      <choice>
                        <rule name="algebra.equations.quadratic.distr-square"/>
                        <sequence>
                          <rule name="navigator.down"/>
                          <succeed/>
                          <let>
                            <decl var="2">
                              <choice>
                                <var var="1"/>
                                <sequence>
                                  <rule name="navigator.right"/>
                                  <succeed/>
                                  <var var="2"/>
                                </sequence>
                              </choice>
                            </decl>
                            <var var="2"/>
                          </let>
                          <orelse>
                            <rule name="navigator.up"/>
                            <succeed/>
                          </orelse>
                        </sequence>
                      </choice>
                    </decl>
                    <var var="1"/>
                  </let>
                  <label name="algebra.equations.linear.distr-times" collapsed="true">
                    <sequence>
                      <let>
                        <decl var="1">
                          <orelse>
                            <rule name="algebra.equations.linear.distr-times"/>
                            <sequence>
                              <rule name="navigator.down"/>
                              <succeed/>
                              <let>
                                <decl var="2">
                                  <choice>
                                    <var var="1"/>
                                    <sequence>
                                      <rule name="navigator.right"/>
                                      <succeed/>
                                      <var var="2"/>
                                    </sequence>
                                  </choice>
                                </decl>
                                <var var="2"/>
                              </let>
                              <orelse>
                                <rule name="navigator.up"/>
                                <succeed/>
                              </orelse>
                            </sequence>
                          </orelse>
                        </decl>
                        <var var="1"/>
                      </let>
                      <let>
                        <decl var="3">
                          <orelse>
                            <sequence>
                              <let>
                                <decl var="1">
                                  <orelse>
                                    <rule name="algebra.equations.linear.distr-times"/>
                                    <sequence>
                                      <rule name="navigator.down"/>
                                      <succeed/>
                                      <let>
                                        <decl var="2">
                                          <choice>
                                            <var var="1"/>
                                            <sequence>
                                              <rule name="navigator.right"/>
                                              <succeed/>
                                              <var var="2"/>
                                            </sequence>
                                          </choice>
                                        </decl>
                                        <var var="2"/>
                                      </let>
                                      <orelse>
                                        <rule name="navigator.up"/>
                                        <succeed/>
                                      </orelse>
                                    </sequence>
                                  </orelse>
                                </decl>
                                <var var="1"/>
                              </let>
                              <var var="3"/>
                            </sequence>
                            <succeed/>
                          </orelse>
                        </decl>
                        <var var="3"/>
                      </let>
                    </sequence>
                  </label>
                  <rule name="algebra.equations.quadratic.distr-div"/>
                  <let>
                    <decl var="1">
                      <choice>
                        <sequence>
                          <rule name="check"/>
                          <rule name="algebra.equations.linear.flip"/>
                        </sequence>
                        <sequence>
                          <rule name="navigator.down"/>
                          <succeed/>
                          <let>
                            <decl var="2">
                              <choice>
                                <var var="1"/>
                                <sequence>
                                  <rule name="navigator.right"/>
                                  <succeed/>
                                  <var var="2"/>
                                </sequence>
                              </choice>
                            </decl>
                            <var var="2"/>
                          </let>
                          <orelse>
                            <rule name="navigator.up"/>
                            <succeed/>
                          </orelse>
                        </sequence>
                      </choice>
                    </decl>
                    <var var="1"/>
                  </let>
                </choice>
                <let>
                  <decl var="1">
                    <choice>
                      <rule name="algebra.equations.quadratic.move-left"/>
                      <rule name="algebra.equations.quadratic.prepare-split" removed="true"/>
                      <sequence>
                        <rule name="navigator.down"/>
                        <succeed/>
                        <let>
                          <decl var="2">
                            <choice>
                              <var var="1"/>
                              <sequence>
                                <rule name="navigator.right"/>
                                <succeed/>
                                <var var="2"/>
                              </sequence>
                            </choice>
                          </decl>
                          <var var="2"/>
                        </let>
                        <orelse>
                          <rule name="navigator.up"/>
                          <succeed/>
                        </orelse>
                      </sequence>
                    </choice>
                  </decl>
                  <var var="1"/>
                </let>
              </orelse>
            </label>
          </orelse>
          <var var="4"/>
        </sequence>
        <succeed/>
      </orelse>
    </decl>
    <var var="4"/>
  </let>
</label>

Locations