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Question

Find the positive value of k for which quadratic equation x28x+k=0 have real roots?

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Solution

The quadratic will have real root only when its discriminant will be greater than or equal to 0
Discriminant of given equation =b24ac =(8)24×1×k>0
644k>0
4k<64
k<16
So, the value of k should be less than 16.

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