Question

if X+1/x=1 find the value of x^3​

please tell fast

Answer 1

Answer:

The answer is $-1$

Step-by-step explanation:

Given $x+\frac{1}{x}=1$

         $\Rightarrow \frac{x^2+1}{x}=1\\\\\Rightarrow x^2+1=x\\\Rightarrow x^2=x-1...(1)$

Thus $x^3=x(x^2)=x(x-1)=x^2-x$ using (1)

             $=(x-1)-x=x-1-x=-1$ again using (1)