Question

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

Answer 1

x^2 + 5x + 6 = 0

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

There are 2 real roots: `x = -b/(2a) +- d/(2a)`

`x = -5/2 + 1/2 = -4/2 = -2`

`x = -5/2 - 1/2 = -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.