If $$x+\frac{1}{x}=-2$$, then find the value of $$x^{631}+\frac{1}{x^{632}}$$
Expression :Â $$x+\frac{1}{x}=-2$$
=> $$\frac{x^2+1}{x}=-2$$
=> $$x^2+2x+1=0$$
=> $$(x+1)^2=0$$
=> $$x+1=0$$
=> $$x=-1$$
$$\therefore$$Â $$x^{631}+\frac{1}{x^{632}}$$
= $$(-1)^{631}+\frac{1}{(-1)^{632}}$$
= $$-1+1=0$$
=> Ans - (C)
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