Question

# The values of k for which the quadratic equation $16{x}^{2}+4kx+9=0$ has real and equal roots are (a)  (b) 36, −36 (c) 6, −6 (d)

Solution

## The given quadratic equation  $16{x}^{2}+4kx+9=0$, has equal roots. Here, . As we know that $D={b}^{2}-4ac$ Putting the values of . The given equation will have real and equal roots, if D = 0 Thus, $16{k}^{2}-576=0$ Therefore, the value of k is 6, −6. Hence, the correct option is (c). MathematicsRD Sharma (2016)Standard X

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