Multiple choice

The value of k for which the roots are real and equal of the following equation $9x^2$ - 24x + k = 0 is $k = 16$

  1. True

  2. False
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

For real and equal roots, the discriminant D = b^2 - 4ac must be 0. D = (-24)^2 - 4(9)(k) = 576 - 36k = 0. k = 576 / 36 = 16.

AI explanation

For a quadratic equation ax^2 + bx + c = 0 to have real and equal roots, its discriminant (b^2 - 4ac) must be zero. Here a = 9, b = -24, and c = k, so (-24)^2 - 4(9)(k) = 0. This simplifies to 576 = 36k, giving k = 16. Therefore, the statement is True.

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