58=x+0.018/x*0.018

Solution for 58=x+0.018/x*0.018 equation:

58=x+0.018/x*0.018

We move all terms to the left:

58-(x+0.018/x*0.018)=0


Domain of the equation: x*0.018)!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

-(+x+0.018/x*0.018)+58=0

We get rid of parentheses

-x-0.018/x*0.018+58=0

We multiply all the terms by the denominator


-x*x*0.018+58*x*0.018-0.018=0

Wy multiply elements

-0.018x^2+1.044x-0.018=0

a = -0.018; b = 1.044; c = -0.018;
Δ = b2-4ac
Δ = 1.0442-4·(-0.018)·(-0.018)
Δ = 1.08864
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{-(1.044)-\sqrt{1.08864}}{2*-0.018}=\frac{-1.044-\sqrt{1.08864}}{-0.036}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1.044)+\sqrt{1.08864}}{2*-0.018}=\frac{-1.044+\sqrt{1.08864}}{-0.036}
$