A quadratic equation is given by x² − 6x + k = 0. Find the value of k for which the equation has equal real roots.
Given:
Quadratic equation: = 0;
Required: Value of k for which the equation has equal real roots.
Concept Used:
A quadratic equation has equal real roots when the discriminant D = 0
Discriminant D =
Solution:
Here, a = 1, b = -6, c = k
D = (-6)2 - 4(1)(k) = 36 - 4k
Now, D = 0:
36 - 4k = 0
4k = 36
k = = 9
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