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For what value of k ,(4-k)x^2+(2k+4)x+(8...

For what value of `k ,(4-k)x^2+(2k+4)x+(8k+1)=0` is a perfect square.

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As given perfect square=`Delta=0`
=`(2(k+2))^2−4(4−k)(8k+1)=0`
=`4(k^2+4+4k)−4(32k+4−8k^2−k)=0 `
=`k^2+4+4k−32k−4+8k^2+k=0`
=`9k^2−27k=0`
=`k^2−3k=0`
=`k(k−3)=0`
=`k=0 or k=3`
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