For what value(s) of k will the function will have no zeros?

Question

For what value(s) of k will the function have no zeros?

Answer 1

Evaluate the discriminant and then find the values of k that make the discriminant negative.

D = (-4)² - 4k² = 16 - 4k² = 4(4 - k²) = 4(2 - k)(2 + k)

To ensure there are no REAL zeros, k > 2 or k < -2