Question

What must be added to x2 -16x+ to make it a perfect square

Answer 1

Answer: 64

Explanation:

`(x-a)^2=x^2-2*x*a+a^2\\(x-a)^2=x^2-16x+a^2\\(x-a)^2=x^2-2*x*8+a^2\\Hence,\\a=8\\a^2=8^2\\a^2=8*8\\a^2=64`

Answer 2

64

Explanation:

A perfect square is the product of two equal linear terms. In mathy terms:

y = (x + n)^2 when factorized.

So, 64 creates that perfect square because

x^2 - 16x + 64 = (x - 8)(x - 8) = (x - 8)^2