Solving quadratic equations using squares

x^2 + 6x-7=0

x = 1 or x = - 7

Step-by-step 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.