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CUET
General Aptitude Test
Quantitative Reasoning
Algebra
If $x+\frac{1}{x}=-2$, then what is the value of $x^{17}+x^{-17}+x^{12}+x^{-12}$? (x < 0)
-2
-1
1
0
If $x+\frac{1}{x}=-2$
Then what is the value of $x^{17}+x^{-17}+x^{12}+x^{-12}$
Put x = -1
$-1^{17}+-1^{-17}+-1^{12}+-1^{-12}$ = -1 + 1 - 1 + 1 = 0