Question

For what value of k the quadratic equation kx2-kx + 1 = 0 has equal roots?

Answer 1

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Answer 2

Answer:

For k = 4, the given quadratic equation has equal roots.

Step-by-step explanation:

The quadratic equation is $kx^2-kx+1=0$

Comparing with $ax^2+bx+c=0$

a = k, b = -k, c = 1

Now, for the equal roots, we have

$b^2-4ac=0\\(-k)^2-4(k)(1)=0\\k^2-4k=0\\k(k-4)=0\\k=0,4$

Now, for k =0, it will not be a quadratic equation. Hence, we can discard k =0

Therefore, for k = 4, the given quadratic equation has equal roots.