.8/x^2=180

Solution for .8/x^2=180 equation:

.8/x^2=180

We move all terms to the left:

.8/x^2-(180)=0


Domain of the equation: x^2!=0

x^2!=0/

x^2!=√0

x!=0

x∈R


We multiply all the terms by the denominator


-180*x^2+.8=0

We add all the numbers together, and all the variables

-180x^2+0.8=0

a = -180; b = 0; c = +0.8;
Δ = b2-4ac
Δ = 02-4·(-180)·0.8
Δ = 576
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{576}=24$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-24}{2*-180}=\frac{-24}{-360}
=1/15
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+24}{2*-180}=\frac{24}{-360}
=-1/15
$