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Question

Find the value of k for which the quadratic equation x24x+k=0 has real and equal roots.



A

0

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B

-2

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C

4

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D

-4

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Solution

The correct option is D

4


On comparing x24x+k=0 with standard form ax2+bx+c=0, we get

a=1,b=4,c=k

The roots of quadratic equation are real and equal only when discriminant, D=0.

D=b24ac=424k=164k

 164k=0

 k=4


Mathematics

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