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Question
Find the value of k so that the quadratic equation` x^2-4kx+k=0`
has equal roots.
Solution
It is given that the quadratic equation `x^2-4kx+k=0` has euqal roots.
∴ `D=0`
⇒`(-4k)^2-4xx1xxk=0`
⇒`16k^2-4k=0`
⇒`4k(4k-1)=0`
⇒`k=0 or 4k-1=0`
⇒`k=0 or k=1/4`
Hence, `0 and 1/4` are the required values of k.
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