Question

WILL GIVE 30 POINTS

Which of the following tables shows the correct steps to transform x2 + 8x + 15 = 0 into the form (x − p)2 = q? [p and q are integers] a x2 + 8x + 15 − 1 = 0 − 1 x2 + 8x + 14 = −1 (x + 4)2 = −1 b x2 + 8x + 15 − 2 = 0 − 2 x2 + 8x + 13 = −2 (x + 4)2 = −2 c x2 + 8x + 15 + 1 = 0 + 1 x2 + 8x + 16 = 1 (x + 4)2 = 1 d x2 + 8x + 15 + 2 = 0 + 2 x2 + 8x + 17 = 2
(x + 4)2 = 2

Answer 1

The correct answer (as given in the question) is C

(look into explanation for details)

Explanation:

We have,

`x^2+8x+15=0\\simplifying,\\x^2+8x+15+1 = 1\\x^2+8x+16=1\\(x+4)^2=1`