1/x-1/1-x=2

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

1/x-1/1-x=2

We move all terms to the left:

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


Domain of the equation: x!=0

x∈R


determiningTheFunctionDomain
1/x-x-2-1/1=0

We add all the numbers together, and all the variables

-1x+1/x-3=0

We multiply all the terms by the denominator


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

We add all the numbers together, and all the variables

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

Wy multiply elements

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

a = -1; b = -3; c = +1;
Δ = b2-4ac
Δ = -32-4·(-1)·1
Δ = 13
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-3)-\sqrt{13}}{2*-1}=\frac{3-\sqrt{13}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-3)+\sqrt{13}}{2*-1}=\frac{3+\sqrt{13}}{-2}
$