Respuesta :

Answer:

  • (x - 4)^2 = 9

Step-by-step explanation:

Completing the square

  • x^2 - 8x + 7 = 0
  • x^2 - 2*4x + 16 - 9 = 0
  • (x^2 - 2*4x + 4^2) = 9
  • (x - 4)^2 = 9

The blanks are

  • - 4 and 9
tqiu

Answer:

(x^2-4)^2 = 9

Step-by-step explanation:

First, isolate the constant:

x^2-8x = -7

Then, since (a-b)^2 = a^2-2ab+b^2, you should add 16(4^2) to both sides:

x^2-8x+16 = 9

Now, we can rewrite the right-hand side as (a-b)^2:

(x-4)^2 = 9