Question

Complete the square to transform the quadratic equation into the equation form (x – p)2 = q. x2 + 14x + 34 = 5

A) (x - 7)2 = 20
B) (x + 7)2 = 20
C) (x - 14)2 = 28
D) (x + 14)2 = 28
(Its not A)

Answer 1

its b

Explanation:

Answer 2

B) (x + 7)^2 = 20

Explanation:

You can subtract 34 from the original equation to get

... x^2 +14x = -29

Now, you can add the square of half the x-coefficient, and you will have ...

... x^2 +14x +49 = -29 +49

... (x +7)^2 = 20 . . . . . . matches selection B

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Comment on answer choice A

The question asks for the form (x -p)^2 = q, but that does not mean that p must be positive. Here, p=-7 and q=20.