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Write the Set of Value of K for Which the Quadratic Equations Has 2x2 + Kx − 8 = 0 Has Real Roots. - CBSE Class 10 - Mathematics

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Question

Write the set of value of k for which the quadratic equations has 2x2 + kx − 8 = 0 has real roots.

Solution

The given quadric equation is 2x2 + kx − 8 = 0 , and roots are real.

Then find the value of k.

Here, a = 2 , b = k and, c = -8

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

Putting the value of  a = 2 , b = k and, c = -8

` = (k)^2 - 4 xx 2 xx (-8)`

= `k^2 + 64`

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

I.e.,  k2 + 64 > 0 which is true for all real values of k

Therefore, for all real values of k, the given equation has real roots.

  Is there an error in this question or solution?

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Solution Write the Set of Value of K for Which the Quadratic Equations Has 2x2 + Kx − 8 = 0 Has Real Roots. Concept: Solutions of Quadratic Equations by Factorization.
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