x+1/x=2/2-x

Solution for x+1/x=2/2-x equation:

x+1/x=2/2-x

We move all terms to the left:

x+1/x-(2/2-x)=0


Domain of the equation: x!=0

x∈R



Domain of the equation: 2-x)!=0

We move all terms containing x to the left, all other terms to the right

-x)!=-2

x!=-2/1

x!=-2

x∈R


We add all the numbers together, and all the variables

x+1/x-(-1x+1)=0

We get rid of parentheses

x+1/x+1x-1=0

We multiply all the terms by the denominator


x*x+1x*x-1*x+1=0

We add all the numbers together, and all the variables

-1x+x*x+1x*x+1=0

Wy multiply elements

x^2+x^2-1x+1=0

We add all the numbers together, and all the variables

2x^2-1x+1=0

a = 2; b = -1; c = +1;
Δ = b2-4ac
Δ = -12-4·2·1
Δ = -7
Delta is less than zero, so there is no solution for the equation