Exercise algebra.equations.quadratic.no-abc
Description
solve a quadratic equation without abc-formula
Derivation
0 == (x-2)*(x+6)-4*x
⇒ algebra.equations.linear.distr-times0 == x^2+4*x-12-4*x
⇒ algebra.equations.linear.flipx^2+4*x-12-4*x == 0
⇒ algebra.equations.linear.mergex^2-12 == 0
⇒ algebra.equations.quadratic.no-linx^2 == 12
⇒ algebra.equations.coverup.powerx == sqrt 12 or x == -sqrt 12
⇒ algebra.equations.quadratic.simpler-sqrtx == 2*sqrt 3 or x == -2*sqrt 3