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