Question

You notice that the following quadratic equation cannot be factored, so you solve it by completing the square.

What value of c (the blank) would make the left-hand side of this equation a perfect square trinomial?

x2 −8x + c = 13

(1 point)
Responses

16
16

4
4

64
64

-8
-8

-4

Answer 1

c = 16

Because (x - 4)^2 = x^2 - 8x + 16, so adding 16 makes the left-hand side a perfect square trinomial.