Question

Fill in the blank with a number to make the expression a perfect square

w^2 - 16w + __

Answer 1

64

Explanation:

so in order to make a perfect square two times the square root of w^2 + square root of constant needs to equal the middle term, -16 (COEFFICIENTS ONLY)

so

2(x)=-16

x=-8

(-8)^2= 64

hence 64 is the blank