0.12924=x^2/1.80x

Solution for 0.12924=x^2/1.80x equation:

0.12924=x^2/1.80x

We move all terms to the left:

0.12924-(x^2/1.80x)=0


Domain of the equation: 1.80x)!=0

x!=0/1

x!=0

x∈R


We get rid of parentheses

-x^2/1.80x+0.12924=0

We multiply all the terms by the denominator


-x^2+(0.12924)*1.80x=0

We add all the numbers together, and all the variables

-1x^2+(0.12924)*1.80x=0

We multiply parentheses

-1x^2+0.12924x=0

a = -1; b = 0.12924; c = 0;
Δ = b2-4ac
Δ = 0.129242-4·(-1)·0
Δ = 0.0167029776
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{-(0.12924)-\sqrt{0.0167029776}}{2*-1}=\frac{-0.12924-\sqrt{0.0167029776}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0.12924)+\sqrt{0.0167029776}}{2*-1}=\frac{-0.12924+\sqrt{0.0167029776}}{-2}
$