Solving quadratic equations using squares x^2 +6x-7=0

Question

asked Apr 12, 2020 14.2k views

2 Answers

Apple Geek · Answer 1 · 2020-04-14T07:17:58+0000

Explanation:

Do you mean by completing the square?

x² + 6x - 7 = 0

x² + 6x = 7

Take half of 6, square it, and add to both sides. (6/2)² = 9.

x² + 6x + 9 = 7 + 9

(x + 3)² = 16

x + 3 = ±4

x = -3 ± 4

x = -7, 1

So the roots are x=-7 and x=1.