x+3/x-2=1+3/x-2

Solution for x+3/x-2=1+3/x-2 equation:

x+3/x-2=1+3/x-2

We move all terms to the left:

x+3/x-2-(1+3/x-2)=0


Domain of the equation: x!=0

x∈R



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

x∈R


We add all the numbers together, and all the variables

x+3/x-(3/x-1)-2=0

We get rid of parentheses

x+3/x-3/x+1-2=0

We multiply all the terms by the denominator


x*x+1*x-2*x+3-3=0

We add all the numbers together, and all the variables

-1x+x*x=0

Wy multiply elements

x^2-1x=0

a = 1; b = -1; c = 0;
Δ = b2-4ac
Δ = -12-4·1·0
Δ = 1
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1}=1$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1)-1}{2*1}=\frac{0}{2}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+1}{2*1}=\frac{2}{2}
=1
$