1.

Find the values of k for roots are real and equal in equation:9x2 – 24x + k = 0

Answer»

The given equation 9x– 24x + k = 0 is in the form of ax+ bx + c = 0

Where a = 9, b = -24, c = k

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

D = b– 4ac = 0

⇒ (-24)– 4(9)(k) = 0

⇒ 576 – 36k = 0

⇒ k = 16

The value of k is 16.



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