Question

x+1/x=2
then x∧100+1/x∧100=?

Answer 1

x + 1/x = 2

⇒ $x+\frac{1}{x}=2$

⇒$\frac{x^2+1}{x}=2$

⇒$x^2+1=2x$

⇒$x^2-2x+1=0$

⇒$(x-1)^2=0$

so x =1 or 1

so $x^{100}+\frac{1}{x^{100}}=$

         $=1^{100}+\frac{1}{1^{100}}$     So something to the power 1 is 1 

         $=1+1$

         $=2$ ANSWER

Answer 2

x+1/x=2
By soling, x=1
x^100+1/x^100
1^100+1/1^100
1+1=2