Algebra

Quantitative Aptitude (CGL)

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If x⁴ + (1/x⁴)= 34 then the value of x³ – (1/x³)

7

14

28

56

Explanation:

x⁴ + (1/x⁴)= 34
(x² + 1/ x²)²-2= 34
X²+1/x²= 6
Again
(x-1/x )+2=6
x-1/x= 2
on cubing both sides
(x-1/x)³= 8
X³-1/x³= 6+8=14

By: MIRZA SADDAM HUSSAIN

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