Question

what must be added to 1/x to make it equal to x.

Answer 1

pls mark it if you like

Let 'a' be added to 1x to make it equal to x.1x+a=xa=x-1xa=x2-1xUsing a2-b2 = a-ba+ba= x-1x+1xHence, x-1x+1x must be added to 1x to make it equal to x.

Answer 2

$\frac{x^{2}-1 }{x}$must be added to 1/x to make it equal to x.

Given

We are given 1/x and x

To find

What must be added to 1/x to make it equal to x?

Solution

Let us take the number to be added as 'a'

when 'a' is added to $\frac{1}{x}$ the result must be x

Hence the equation will be $\frac{1}{x}$ + a = x

Therefore we will get the equation for 'a' as x - $\frac{1}{x}$

By solving the equation we will get $\frac{x^{2} - 1 }{x}$

Thus the value of 'a' will be $\frac{x^{2} - 1}{x}$

Therefore $\frac{x^{2} -1 }{x}$ must be added to $\frac{1}{x}$ to make it equal to x