Find the value(s) of `k` so that, the quadratic equation `x^2 - 4kx + – InterviewSolution

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1.	Find the value(s) of `k` so that, the quadratic equation `x^2 - 4kx + k = 0` has equal roots.
Answer» Correct Answer - `k=0" or "k=(1)/(4)` `D=(-4k)^(2)-4l=16k^(2)-4k=4k(4k-1).` For equal roots, we must have D = 0. Now, `D=0implies4k(4k-1)=0impliesk=0" or "4k-1=0impliesk=0" or "k=(1)/(4).`

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