x+(0.18/x)=5000

Solution for x+(0.18/x)=5000 equation:

x+(0.18/x)=5000

We move all terms to the left:

x+(0.18/x)-(5000)=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+(+0.18/x)-5000=0

We get rid of parentheses

x+0.18/x-5000=0

We multiply all the terms by the denominator


x*x-5000*x+0.18=0

We add all the numbers together, and all the variables

-5000x+x*x+0.18=0

Wy multiply elements

x^2-5000x+0.18=0

a = 1; b = -5000; c = +0.18;
Δ = b2-4ac
Δ = -50002-4·1·0.18
Δ = 24999999.28
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{-(-5000)-\sqrt{24999999.28}}{2*1}=\frac{5000-\sqrt{24999999.28}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-5000)+\sqrt{24999999.28}}{2*1}=\frac{5000+\sqrt{24999999.28}}{2}
$