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Question

If x+x−1=10 and x≠0 then evaluate x2+x−2.


A

102

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B

98

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C

10

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D

100

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Solution

The correct option is B

98


(x+x1)2=x2+x2+2(x)(x1)=100
x2+x2+2=100
x2+x2=1002
x2+x2=98


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