0.1=(x^2)/x

Solution for 0.1=(x^2)/x equation:

0.1=(x^2)/x

We move all terms to the left:

0.1-((x^2)/x)=0


Domain of the equation: x)!=0

x!=0/1

x!=0

x∈R


We get rid of parentheses

-x^2/x+0.1=0

We multiply all the terms by the denominator


-x^2+(0.1)*x=0

We add all the numbers together, and all the variables

-1x^2+(0.1)*x=0

We multiply parentheses

-1x^2+0.1x=0

a = -1; b = 0.1; c = 0;
Δ = b2-4ac
Δ = 0.12-4·(-1)·0
Δ = 0.01
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{-(0.1)-\sqrt{0.01}}{2*-1}=\frac{-0.1-\sqrt{0.01}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0.1)+\sqrt{0.01}}{2*-1}=\frac{-0.1+\sqrt{0.01}}{-2}
$