(0.1/x)=0.1x

Solution for (0.1/x)=0.1x equation:

(0.1/x)=0.1x

We move all terms to the left:

(0.1/x)-(0.1x)=0


Domain of the equation: x)!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

(+0.1/x)-(+0.1x)=0

We get rid of parentheses

0.1/x-0.1x=0

We multiply all the terms by the denominator


-(0.1x)*x+0.1=0

We add all the numbers together, and all the variables

-(+0.1x)*x+0.1=0

We multiply parentheses

-0x^2+0.1=0

We add all the numbers together, and all the variables

-1x^2+0.1=0

a = -1; b = 0; c = +0.1;
Δ = b2-4ac
Δ = 02-4·(-1)·0.1
Δ = 0.4
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{0.4}}{2*-1}=\frac{0-\sqrt{0.4}}{-2}
=-\frac{\sqrt{}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{0.4}}{2*-1}=\frac{0+\sqrt{0.4}}{-2}
=\frac{\sqrt{}}{-2}
$