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Question

If α,β are the roots of the equation x2(3+25log24log2(log3(log6216))x2(3log322log23)=0, then the equation whose roots are α,β is

A
x2+19x+2=0
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B
x2+35x2=0
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C
x2+29x+2=0
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D
x2+35x+2=0
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Solution

The correct option is D x2+35x+2=0
x2(3+25log24log2(log3(log6216))x2(3log322log23)=0
x2(3+2log245log2(log33))x+2=0
x2(3+210)x+2=0
x2(3+25)x+2=0
x235x+2=0

Now, replace x by x, we get
x2+35x+2=0

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