x^2=82.2/2328

Solution for x^2=82.2/2328 equation:

x^2=82.2/2328

We move all terms to the left:

x^2-(82.2/2328)=0

We add all the numbers together, and all the variables

x^2-(+82.2/2328)=0

We get rid of parentheses

x^2-82.2/2328=0

We multiply all the terms by the denominator


x^2*2328-82.2=0

Wy multiply elements

2328x^2-82.2=0

a = 2328; b = 0; c = -82.2;
Δ = b2-4ac
Δ = 02-4·2328·(-82.2)
Δ = 765446.4
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{765446.4}}{2*2328}=\frac{0-\sqrt{765446.4}}{4656}
=-\frac{\sqrt{}}{4656}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{765446.4}}{2*2328}=\frac{0+\sqrt{765446.4}}{4656}
=\frac{\sqrt{}}{4656}
$