What are the roots of the equation x2 - 5x + 6 = 0?

A

1 and - 6

B.

2 and 3

C

-1 and 6

D.

-2 and - 3

The answer is

B. - 2 and 3

Step-by-step explanation:

Given the expression

x² - 5x + 6 = 0

Firstly we need to find two numbers that when multiplied will give us the constant term 6, and when added will give us the 2nd term 5

These numbers are 3 and 2

Substituting 2x + 3x for 5x

x² - (2x+3x) + 6 = 0

x²-2x-3x+6=0

(x²-2x) - (3x+6) = 0

Factoring we have

x (x-2) - 3 (x-2) = 0

x-3=0, x-2=0

x=3, x = 2