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

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

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

We move all terms to the left:

1-x-3/x-2-(2x-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

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

We get rid of parentheses

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

We multiply all the terms by the denominator


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

We add all the numbers together, and all the variables

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

Wy multiply elements

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

We add all the numbers together, and all the variables

-3x^2+x=0

a = -3; b = 1; c = 0;
Δ = b2-4ac
Δ = 12-4·(-3)·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*-3}=\frac{-2}{-6}
=1/3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+1}{2*-3}=\frac{0}{-6}
=0
$