Question

if x+1/x=-2 then x¹⁰¹+1/x¹⁰¹ {?​

Answer 1

Answer:

The answer is -2

Step-by-step explanation:

Given equation is

             $x+\dfrac{1}{x}=-2$

         $\Rightarrow x^2+1=-2x\\\Rightarrow x^2+2x+1=0\\\Rightarrow (x+1)^2=0\\\Rightarrow x+1=0\Rightarrow x=-1$

Therefore

       $x^{101}+\dfrac{1}{x^{101}}=(-1)^{101}+\dfrac{1}{(-1)^{101}}=-1-1=-2$

Answer 2

Answer:

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Explanation: