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Question

For what value of k are the roots of the quadratic equation kx2+1=4x equal and real?

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Solution

Given the quadratic equation kx2+1=4x.
or, kx2+4x+1=0.
Now if the roots of the given equation be real and equal then we'll have,
424k=0 [ Discriminant equal to 0]
or, k=4.

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