URGENT: For what value(s) of k will the function f(x) = 2x^2 – kx + 18 have two non real roots? Show your work.

Answer 1

Hello, Holly

When discriminant is less than 0 (b² - 4ac < 0), then function has no real roots

2x² - kx +18; a = 2, b= -k, c= 18 use the formula b² - 4ac < 0

k² -4*2*18<0

k² < 144

-12<k<12

I hope that helps