Algebra

Quantitative Aptitude (CGL)

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(x + 1/x)²= 2 then find the value of (x⁹⁴+x⁹⁰+x⁸²+x⁷⁸+x⁶⁴+x⁶⁰+x⁵⁴+x⁵⁰)

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Explanation:

Given (x+1/x)²=2
or x²+ (1/x)²+2.x.1/x=2
or x²+1/x2=0
x⁴+1=0
Now (x⁹⁴+x⁹⁰+x⁸²+x⁷⁸+x⁶⁴+x⁶⁰+x⁵⁴+x⁵⁰)
=x⁹⁰(x⁴+1)+x⁷⁸(x⁴+1)+ x⁶⁰(x⁴+1)+ x⁵⁰(x⁴+1)
=0

By: MIRZA SADDAM HUSSAIN

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