The values of k for which the quadratic equation 16x2 + 4kx + 9 = o has real and equal roots are

To have real and equal roots d = 0

b2 – 4ac = 0


here a = 16, b = 4k and c = 9


(4k)2 – 4 x 16 x 9 = 0


16 k2 – 576 = 0


k2 = 576 /16


k = 24/ 4


k = 6

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