Question #2927a

1 Answer
Apr 29, 2017

x=2 ; x=3x=2;x=3

Explanation:

The exponent is 22 so we will get two answers for xx and that means two sets of brackets:

x^2-5x+6=0x25x+6=0

(x ....)(x ....)=0

To obtain a -5 in the middle term the factors of +6 will need to be 2 and 3, with both being negative:

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

(x-2)=0

x=2

(x-3)=0

x=3

Substitute the values into the given equation to check:

x^2-5x+6=0

2^2-5(2)+6=0

4-10+6=0