(x*x)/(0.1*x)=1.74*10^5

Solution for (x*x)/(0.1*x)=1.74*10^5 equation:

(x*x)/(0.1x)=1.74*10^5

We move all terms to the left:

(x*x)/(0.1x)-(1.74*10^5)=0


Domain of the equation: (0.1x)!=0

x!=0/0.1

x!=0

x∈R


We add all the numbers together, and all the variables

(+x*x)/(+0.1x)-(1.74*10^5)=0

We add all the numbers together, and all the variables

(+x*x)/(+0.1x)-174000=0

We multiply all the terms by the denominator


(+x*x)-174000*(+0.1x)=0

We multiply parentheses

(+x*x)-0x=0

We get rid of parentheses

x*x-0x=0

We add all the numbers together, and all the variables

-1x+x*x=0

Wy multiply elements

x^2-1x=0

a = 1; b = -1; c = 0;
Δ = b2-4ac
Δ = -12-4·1·0
Δ = 1
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1}=1$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1)-1}{2*1}=\frac{0}{2}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+1}{2*1}=\frac{2}{2}
=1
$