x1+2=x2+1

Solution for x1+2=x2+1 equation:

x1+2=x2+1

We move all terms to the left:

x1+2-(x2+1)=0

We add all the numbers together, and all the variables

-(+x^2+1)+x1+2=0

We add all the numbers together, and all the variables

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

We get rid of parentheses

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

We add all the numbers together, and all the variables

-1x^2+x+1=0

a = -1; b = 1; c = +1;
Δ = b2-4ac
Δ = 12-4·(-1)·1
Δ = 5
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{-(1)-\sqrt{5}}{2*-1}=\frac{-1-\sqrt{5}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{5}}{2*-1}=\frac{-1+\sqrt{5}}{-2}
$