Question

For what value of k does the quadratic equation 9x²-8kx+16=0 have equal roots

Answer 1

Answer:

For k = ±3 the given quadratic equation will have equal roots

Step-by-step explanation:

For a quadratic equation to have equal roots, b² - 4ac should be equal to zero.

Here a = 9, b = -8k and c = 16

b² - 4ac = (-8k)² - 4*9*16 = 0

64k² - 576 = 0

64k² = 576

k² = 576/64 = 9

k = √9 = ±3