242.1/x=173/x+x*0.08

Solution for 242.1/x=173/x+x*0.08 equation:

242.1/x=173/x+x*0.08

We move all terms to the left:

242.1/x-(173/x+x*0.08)=0


Domain of the equation: x!=0

x∈R



Domain of the equation: x+x*0.08)!=0

x∈R


We add all the numbers together, and all the variables

242.1/x-(+173/x+x*0.08)=0

We get rid of parentheses

242.1/x-173/x-x*0.08=0

We multiply all the terms by the denominator


-(x*0.08)*x+242.1-173=0

We add all the numbers together, and all the variables

-(+x*0.08)*x+242.1-173=0

We add all the numbers together, and all the variables

-(+x*0.08)*x+69.1=0

We multiply parentheses

-0.08x^2+69.1=0

a = -0.08; b = 0; c = +69.1;
Δ = b2-4ac
Δ = 02-4·(-0.08)·69.1
Δ = 22.112
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)-\sqrt{22.112}}{2*-0.08}=\frac{0-\sqrt{22.112}}{-0.16}
=-\frac{\sqrt{}}{-0.16}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{22.112}}{2*-0.08}=\frac{0+\sqrt{22.112}}{-0.16}
=\frac{\sqrt{}}{-0.16}
$