3x^2 - 2x - 5=0 Factoring Quadratics and show the square

Question

asked Oct 19, 2022 148k views

2 Answers

Artem Tikhomirov · Answer 1 · 2022-10-20T22:01:34+0000

Explanation:

I don't know if you are asking for a solution using the method of completing the squares.

3x²-2x-5=0

x²-⅔x-5/3=0

x²-⅔x=5/3

x²-⅔x+(-⅓)²=5/3+(-⅓)²

(x-⅓)²=5/3+1/9

(x-⅓)²=16/9

(x-⅓)²=√16/9

x-⅓=±4/3

x=⅓±4/3

x=5/3,-1

Thus (3x-5)(x+1)