find the positive value of k that would make he left side of the equation a perfect square trinomial x^2-kx+64

Answer: 16

Explanation:

x² - kx + 64

Since we are looking for a perfect square, then we need to take the square root of 64 to find the factors: √64 = 8

So, the factors are: (x - 8) (x - 8)

Foil (or distribute) to get: x² - 16x + 64 The k-value is 16