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Question

Find the value of k for which the equation x26x+k=0 has distinct roots.

A
k>9
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B
k=6,7 only
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C
k<9
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D
k=9
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Solution

The correct option is B k<9
x26x+k=0 has
discreminant D=b24ac
=364k
For real roots D>0 364k>0
k<9

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