Question

What is the intermediate step in the form (x + a)2 = b as a result of completing the

square for the following equation?
X2 + 23x – 19 = 9x - 4

Answer 1

(x + 7)^2 = 64

Explanation:

x^2 + 23x – 19 = 9x - 4

x^2 + 23x - 9x = -4 + 19

x^2 + 14x = 15 = 0

Completing the square:

(x + 14/2)^2 - (14/2)^2 = 15

(x + 7)^2 - 49 = 15

(x + 7)^2 = 64