0.58=x-318000/x

Solution for 0.58=x-318000/x equation:

0.58=x-318000/x

We move all terms to the left:

0.58-(x-318000/x)=0


Domain of the equation: x)!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

-(+x-318000/x)+0.58=0

We get rid of parentheses

-x+318000/x+0.58=0

We multiply all the terms by the denominator


-x*x+(0.58)*x+318000=0

We multiply parentheses

-x*x+0.58x+318000=0

Wy multiply elements

-1x^2+0.58x+318000=0

a = -1; b = 0.58; c = +318000;
Δ = b2-4ac
Δ = 0.582-4·(-1)·318000
Δ = 1272000.3364
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{-(0.58)-\sqrt{1272000.3364}}{2*-1}=\frac{-0.58-\sqrt{1272000.3364}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0.58)+\sqrt{1272000.3364}}{2*-1}=\frac{-0.58+\sqrt{1272000.3364}}{-2}
$