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# In the Following Determine the Set of Values of K for Which the Given Quadratic Equation Has Real Roots: 2x2 + Kx - 4 = 0 - Mathematics

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#### Question

In the following determine the set of values of k for which the given quadratic equation has real roots:

2x2 + kx - 4 = 0

#### Solution

The given quadric equation is 2x2 + kx - 4 = 0, and roots are real.

Then find the value of k.

Here, a = 2, b = k and c = -4

As we know that D = b2 - 4ac

Putting the value of a = 2, b = k and c = -4

= k2 - 4 x (2) x (-4)

= k2 + 32

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

k2 + 32

Since left hand side always positive.

So k ∈ R

Is there an error in this question or solution?

#### APPEARS IN

RD Sharma Solution for Class 10 Maths (2018 (Latest))
Ex. 4.6 | Q: 16.4 | Page no. 42
RD Sharma Solution for Class 10 Maths (2018 (Latest))
Ex. 4.6 | Q: 16.4 | Page no. 42

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In the Following Determine the Set of Values of K for Which the Given Quadratic Equation Has Real Roots: 2x2 + Kx - 4 = 0 Concept: Nature of Roots.