# How to use the discriminant to find out what type of solutions the equation has for x^2 + 5x + 6 = 0?

May 18, 2015

x^2 + 5x + 6 = 0

D = d^2 = 25 - 24 = 1. d = +- 1.

There are 2 real roots: $x = - \frac{b}{2 a} \pm \frac{d}{2 a}$

$x = - \frac{5}{2} + \frac{1}{2} = - \frac{4}{2} = - 2$

$x = - \frac{5}{2} - \frac{1}{2} = - \frac{6}{2} = - 3$.

There is a new method, called new AC Method that may be simpler and faster.
Find 2 number knowing sum (= -5) and product (= 6). They are -2 and -3.