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In the Following Determine the Set of Values of K for Which the Given Quadratic Equation Has Real Roots: 2x2 + 3x + K = 0 - CBSE Class 10 - 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 + 3x + k = 0

Solution

The given quadric equation is 2x2 + 3x + k = 0, and roots are real.

Then find the value of k.

Here, a = 2, b = 3 and c = k

As we know that D = b2 - 4ac

Putting the value of a = 2, b = 3 and c = k

= 32 - 4 x (2) x (k)

= 9 - 8k

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

9 - 8k ≥ 0

8k ≤ 9

k ≤ 9/8

Therefore, the value of k ≤ 9/8.

  Is there an error in this question or solution?

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Solution In the Following Determine the Set of Values of K for Which the Given Quadratic Equation Has Real Roots: 2x2 + 3x + K = 0 Concept: Nature of Roots.
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