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Find the Values Of K For Which the Roots Are Real and Equal in Each of the Following Equation: Kx2 + 4x + 1 = 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:

kx2 + 4x + 1 = 0

Solution

The given quadric equation is kx2 + 4x + 1 = 0, and roots are real and equal

Then find the value of k.

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

As we know that D = b2 - 4ac

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

D = (4)2 - 4(k)(1)

= 16 - 4k

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

Thus,

16 - 4k = 0

4k = 16

k = 16/4

k = 4

Therefore, the value of k = 4.

  Is there an error in this question or solution?

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Solution Find the Values Of K For Which the Roots Are Real and Equal in Each of the Following Equation: Kx2 + 4x + 1 = 0 Concept: Nature of Roots.
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