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Question

The complete set of values of k, for which the quadratic equation x2kx+k+2=0 has equal roots, consists of


A

2+2

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B

2¯¯¯¯+12

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C

212

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D

212

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Solution

The correct option is B

2¯¯¯¯+12


Equal roots =0
k24(k+2)=0
k24k8=0

k=4±16+4(8)2
k=4±482
k=4±2122
k=2±12


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