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Question

Solve the following equations:
x+x21xx21+xx21x+x21=98

A
±1
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B
±5
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C
±10
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D
±4
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Solution

The correct option is D ±5

Given, x+x21xx21+xx21x+x21=98

(x+x21)2+(xx21)2(x+x21)(xx21)=98

x2+x21+2xx21+x2+x212xx21x2(x21)=98

4x22=98

4x2=100

x2=25

x=±5


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