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Find the Values of K for Which the Roots Are Real and Equal in Each of the Following Equation: 9x2 - 24x + K = 0 - CBSE Class 10 - Mathematics

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Question

Find the values of k for which the roots are real and equal in each of the following equation:

9x2 - 24x + k = 0

Solution

The given quadric equation is 9x2 - 24x + k = 0, and roots are real and equal

Then find the value of k.

Here, a = 9, b = -24 and c = k

As we know that D = b2 - 4ac

Putting the value of a = 9, b = -24 and c = k

= (-24)2 - 4 x (9) x (k)

= 576 - 36k

The given equation will have real and equal roots, if D = 0

Thus,

576 - 36k = 0

36k = 576

k = 576/36

k = 16

Therefore, the value of k = 16.

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Solution Find the Values of K for Which the Roots Are Real and Equal in Each of the Following Equation: 9x2 - 24x + K = 0 Concept: Nature of Roots.
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