(x^2/x+120)=60

Solution for (x^2/x+120)=60 equation:

(x^2/x+120)=60

We move all terms to the left:

(x^2/x+120)-(60)=0


Domain of the equation: x+120)!=0

x∈R


We get rid of parentheses

x^2/x+120-60=0

We multiply all the terms by the denominator


x^2+120*x-60*x=0

We add all the numbers together, and all the variables

x^2+60x=0

a = 1; b = 60; c = 0;
Δ = b2-4ac
Δ = 602-4·1·0
Δ = 3600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3600}=60$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(60)-60}{2*1}=\frac{-120}{2}
=-60
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(60)+60}{2*1}=\frac{0}{2}
=0
$