What value does k have two equal real roots

Question

for what values of K does 3x^2-kx+2 have two equal real roots

Answer 1

Find the discriminant, set it equal to zero, and then solve for k.

 

D = b² - 4ac = (-k)² - 4(3)(2) = k² - 24 = 0

 

k = ±2√6