Question

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

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

x2 −14x + c = 13

(1 point)

-7

-14

49

196

4

Answer 1

Pick c = (half of −14)² = (−7)² = 49.

Then x² − 14x + 49 = (x − 7)², so 49 is the correct choice.