Exercise algebra.equations.quadratic.no-abc
Description
solve a quadratic equation without abc-formula
Derivation
(6*x-3)^2 == 6
⇒ algebra.equations.coverup.power6*x-3 == sqrt 6 or 6*x-3 == -sqrt 6
⇒ algebra.equations.coverup.onevar.minus-left6*x == 3+sqrt 6 or 6*x-3 == -sqrt 6
⇒ algebra.equations.coverup.timesx == (3+sqrt 6)/6 or 6*x-3 == -sqrt 6
⇒ algebra.equations.coverup.onevar.minus-leftx == (3+sqrt 6)/6 or 6*x == 3-sqrt 6
⇒ algebra.equations.coverup.timesx == (3+sqrt 6)/6 or x == (3-sqrt 6)/6
⇒ algebra.equations.quadratic.distr-divx == 1/2+sqrt 6/6 or x == 1/2-sqrt 6/6