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Question

If x4+1x4=623, then x+1x=


A

27

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B

25

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C

33

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D

33

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Solution

The correct option is C

33


x4+1x4=623Adding 2 to both sides,x4+1x4+2=623+2=625(x2+1x2)2=(25)2 x2+1x2=25Adding 2 to both sides,x2+1x2+2=25+2=27(x+1x)2=(27)2=[9×3]2 x+1x=33


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