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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

1 Answer

4 votes

Answer:

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

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