Question

Find the value of k so that the quadratic equation` x^2-4kx+k=0` 

has equal roots. 

Answer 1

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.