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Find the value of K, for which the quadratic equation x² + 4x + K = 0 has equal roots.
Question

Find the value of K, for which the quadratic equation x² + 4x + K = 0 has equal roots.

A.

3

B.

5

C.

4

D.

6

Correct option is C

Given:

Quadratic equation: x2 + 4x + K = 0

We are to find the value of K for which the equation has equal roots.

Formula Used:

Discriminant D = b2 - 4ac

For equal roots: D = 0

Solution:

Here, a = 1, b = 4, c = K

Substitute in the discriminant formula:

42 - 4(1)(K) = 0

16 - 4K = 0

4K = 16

K = 4

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