1.

Find the values of k for roots are real and equal in equation:4x2 + kx + 9 = 0

Answer»

The given equation 4x+ kx + 9 = 0 is in the form of ax+ bx + c = 0

Where a = 4, b = k, c = 9

For the equation to have real and equal roots, the condition is

D = b– 4ac = 0

⇒ k– 4(4)(9) = 0

⇒ k2 – 144 = 0

⇒ k = ± 12

The value of k is 12 or -12.



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