x+30000/x=350

Solution for x+30000/x=350 equation:

x+30000/x=350

We move all terms to the left:

x+30000/x-(350)=0


Domain of the equation: x!=0

x∈R


We multiply all the terms by the denominator


x*x-350*x+30000=0

We add all the numbers together, and all the variables

-350x+x*x+30000=0

Wy multiply elements

x^2-350x+30000=0

a = 1; b = -350; c = +30000;
Δ = b2-4ac
Δ = -3502-4·1·30000
Δ = 2500
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2500}=50$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-350)-50}{2*1}=\frac{300}{2}
=150
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-350)+50}{2*1}=\frac{400}{2}
=200
$