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If the Equation X2 + 4x + K = 0 Has Real and Distinct Roots, Then - CBSE Class 10 - Mathematics

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Question

If the equation x2 + 4x + k = 0 has real and distinct roots, then

  • k < 4

  • k > 4

  • k ≥ 4

  • k ≤ 4

Solution

The given quadric equation is x2 + 4x + k = 0, and roots are real and distinct.

Then find the value of k.

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

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

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

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

= 16 - 4k

The given equation will have real and distinct roots, if D > 0

 16 - 4k > 0

        4k < 16

        ` k< 16/4`

             < 4

Therefore, the value of  k < 4 .

  Is there an error in this question or solution?

APPEARS IN

Solution If the Equation X2 + 4x + K = 0 Has Real and Distinct Roots, Then Concept: Solutions of Quadratic Equations by Factorization.
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