0=x+1/x-2

Solution for 0=x+1/x-2 equation:

0=x+1/x-2

We move all terms to the left:

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


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

x∈R


We add all the numbers together, and all the variables

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

We get rid of parentheses

-x-1/x+2=0

We multiply all the terms by the denominator


-x*x+2*x-1=0

We add all the numbers together, and all the variables

2x-x*x-1=0

Wy multiply elements

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

a = -1; b = 2; c = -1;
Δ = b2-4ac
Δ = 22-4·(-1)·(-1)
Δ = 0
Delta is equal to zero, so there is only one solution to the equation

                              Stosujemy wzór:
$x=\frac{-b}{2a}=\frac{-2}{-2}=1$