Solution
Expression : $$x+\frac{1}{x}=-2$$
=> $$\frac{x^2+1}{x}=-2$$
=> $$x^2+1+2x=0$$
=> $$(x+1)^2=0$$
=> $$x=-1$$
To find : $$x^7+\frac{1}{x^7}$$
= $$(-1)^7+\frac{1}{(-1)^7}$$
= $$-1-1=-2$$
=> Ans - (D)
Create a FREE account and get:
- Free SSC Study Material - 18000 Questions
- 230+ SSC previous papers with solutions PDF
- 100+ SSC Online Tests for Free
