.60=x+0.1(100)/x+100

Solution for .60=x+0.1(100)/x+100 equation:

.60=x+0.1(100)/x+100

We move all terms to the left:

.60-(x+0.1(100)/x+100)=0


Domain of the equation: x+100)!=0

x∈R


We add all the numbers together, and all the variables

-(x+0.1100/x+100)+0.6=0

We get rid of parentheses

-x-0.1100/x-100+0.6=0

We multiply all the terms by the denominator


-x*x-100*x+(0.6)*x-0.1100=0

We add all the numbers together, and all the variables

-100x-x*x+(0.6)*x-0.11=0

We multiply parentheses

-100x-x*x+0.6x-0.11=0

Wy multiply elements

-1x^2-100x+0.6x-0.11=0

We add all the numbers together, and all the variables

-1x^2-99.4x-0.11=0

a = -1; b = -99.4; c = -0.11;
Δ = b2-4ac
Δ = -99.42-4·(-1)·(-0.11)
Δ = 9879.92
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{-(-99.4)-\sqrt{9879.92}}{2*-1}=\frac{99.4-\sqrt{9879.92}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-99.4)+\sqrt{9879.92}}{2*-1}=\frac{99.4+\sqrt{9879.92}}{-2}
$