Question

PLEASE HELP

A quadratic equation is shown:

x2 − 8x + 13 = 0

Which of the following is the first correct step to write the above equation in the form (x − p)2 = q, where p and q are integers?

A) x2 − 8x + 13 − 5 = 0 − 5
B) x2 − 8x + 13 − 3 = 0 − 3
C) x2 − 8x + 13 + 5 = 0 + 5
D) x2 − 8x + 13 + 3 = 0 + 3

Answer 1

D) x2 − 8x + 13 + 3 = 0 + 3

Explanation:

Answer 2

Add 3 to both sides, so you will have

x^2 - 8x + 13 + 3 = 3

x^2 -8x + 16 = 3

And now the left side is a perfect square trinolmial: (x-4)^2.

Explanation:

Hope this helps:)