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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

ConceptSolutions of Quadratic Equations by Factorization

#### 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.

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#### APPEARS IN

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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