Question

if x minus one by x is equal to -1 then find the value of x square + 1 by X square

Answer 1

Answer:

if x minus one by x is equal to -1 then find the value of x square + 1 by X square

3

Answer 2

Given:

$x-\frac{1}{x} =-1$

To find:

$x^2+\frac{1}{x^2}$=?

Solution:

We know that

(a-b)²= a² +b² -2ab

a= x , b=1/x

∴(x-1/x)²= x² +1/x² -2.x.1/x

  (-1)² =  x² +1/x²-2×1

    1+2=x² +1/x²

    x² +1/x²= 3

Hence the value of x² +1/x² is 3.