Exercise algebra.inequalities.quadratic

Description
solve a quadratic inequation

Derivation

1/2*x^2-3*x-8 < 0

⇒ algebra.inequalities.to-equation, clipboard=[ineq == (1/2*x^2-3*x-8 < 0)]

1/2*x^2-3*x-8 == 0

⇒ algebra.equations.quadratic.simpler-poly

x^2-6*x-16 == 0

⇒ algebra.equations.quadratic.nice-factors

(x+2)*(x-8) == 0

⇒ algebra.equations.quadratic.product-zero

x == -2 or x == 8

⇒ algebra.inequalities.give-solution, clipboard=[]

-2 < x < 8