Question

If y²-16y+k is a perfect square, find k​

Answer 1

k=64

Explanation:

(y-x)(y-x) = y^2-16y+k

Since the k is a "+," and two negatives (hence the negative middle value) multiply to make a positive, and since 16 has to be equal to 2x, we know that x is 8. Therefore, our equation is (y-8)(y-8), which is equal to y^2-16y+64.