Quadratic Equations and Inequalities

Methods used to solve quadratic equations

1) Completing the square 2) Formula

The quadratic equation with roots α and β

x^2 – (sum of roots)x + (product of roots)=0

Sum of roots = α + β

- b/a

Product of roots = αβ

c/a

Three methods can be used to solve quadratic inequality

1) Graph sketching 2) Number line 3) Table method

If (x-a)(x-b)>0

Then xb