5x+60/x=35

Solution for 5x+60/x=35 equation:

5x+60/x=35

We move all terms to the left:

5x+60/x-(35)=0


Domain of the equation: x!=0

x∈R


We multiply all the terms by the denominator


5x*x-35*x+60=0

We add all the numbers together, and all the variables

-35x+5x*x+60=0

Wy multiply elements

5x^2-35x+60=0

a = 5; b = -35; c = +60;
Δ = b2-4ac
Δ = -352-4·5·60
Δ = 25
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{25}=5$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-35)-5}{2*5}=\frac{30}{10}
=3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-35)+5}{2*5}=\frac{40}{10}
=4
$