Question

Complete the equation: x^2-14x + __ = (__)^2

a. -14; x+14
b. -14; x-14
c. 49; x-7
d. 49; x+7

Answer 1

C. 49, x-7

Explanation:

(A+B)^2 = A^2 + 2AB + B^2

-14x = 2*A*B

where A=x

Therefore B=-7

and (x-7)^2=x^2-14x+49