X+130/y+170=1

Solution for X+130/y+170=1 equation:

X+130/X+170=1

We move all terms to the left:

X+130/X+170-(1)=0


Domain of the equation: X!=0

X∈R


We add all the numbers together, and all the variables

X+130/X+169=0

We multiply all the terms by the denominator


X*X+169*X+130=0

We add all the numbers together, and all the variables

169X+X*X+130=0

Wy multiply elements

X^2+169X+130=0

a = 1; b = 169; c = +130;
Δ = b2-4ac
Δ = 1692-4·1·130
Δ = 28041
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{-(169)-\sqrt{28041}}{2*1}=\frac{-169-\sqrt{28041}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(169)+\sqrt{28041}}{2*1}=\frac{-169+\sqrt{28041}}{2}
$