Q. 8 A5.0( 3 Votes )

# For what values of k, does the following quadratic equation has equal roots.9x2 + 8kx + 16 = 0

Since roots are equal

d=0 (1)

9x2 + 8kx + 16 = 0

d = b2 – 4ac

d = (8k)2 – 4 (9) (16)

From (1), d = 0

Equation will be:

0 = 64k2 – 576

k2 = 9

k = ±√9

k = 3, –3

values of k are –3, 3 .

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