Exercise algebra.equations.quadratic.no-abc

Description
solve a quadratic equation without abc-formula

Derivation

3*(x-2) == x^2-3*x

⇒ algebra.equations.linear.distr-times

3*x-6 == x^2-3*x

⇒ algebra.equations.quadratic.move-left

-x^2+6*x-6 == 0

⇒ algebra.equations.quadratic.scale

x^2-6*x+6 == 0

⇒ algebra.equations.quadratic.prepare-split

x^2-6*x+9 == 3

⇒ algebra.equations.quadratic.left-square

(x-3)^2 == 3

⇒ algebra.equations.coverup.power

x-3 == sqrt 3 or x-3 == -sqrt 3

⇒ algebra.equations.coverup.onevar.minus-left

x == 3+sqrt 3 or x-3 == -sqrt 3

⇒ algebra.equations.coverup.onevar.minus-left

x == 3+sqrt 3 or x == 3-sqrt 3