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Write the Value of K for Which the Quadratic Equation X2 − Kx + 4 = 0 Has Equal Roots. - CBSE Class 10 - Mathematics

Question

Write the value of k for which the quadratic equation x2 − kx + 4 = 0 has equal roots.

Solution

The given quadric equation is x ^2 - kr + 4 = 0, and roots are equal.

Then find the value of k.

Here, a = 1, b = -k and , c = 4

As we know that D = b^2 - 4ac

Putting the value of  a =1,b = -k and , c = 4

= (-k)^2 - 4 xx 1 xx 4

= k^2- 16

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

k^2 - 16 = 0

k^2 = 16

k = sqrt 16

=± 4

Therefore, the value of k =± 4 .

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Solution Write the Value of K for Which the Quadratic Equation X2 − Kx + 4 = 0 Has Equal Roots. Concept: Nature of Roots.
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