Question

For what value of k the equation 9x²-24x + k =0 has equal roots? *
2 points

Answer 1

Answer:

k = 16

Step-by-step explanation:

In the given quadratic equation 9x^2 - 24x + k =0

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

Following condition is necessary for equal roots

b^2 - 4ac = 0

(-24)^2 -4×9×k = 0

576 -36k = 0

36(16 - k) = 0

16 - k = 0

16 = k

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