x^2=25/576

Solution for x^2=25/576 equation:

x^2=25/576

We move all terms to the left:

x^2-(25/576)=0

We add all the numbers together, and all the variables

x^2-(+25/576)=0

We get rid of parentheses

x^2-25/576=0

We multiply all the terms by the denominator


x^2*576-25=0

Wy multiply elements

576x^2-25=0

a = 576; b = 0; c = -25;
Δ = b2-4ac
Δ = 02-4·576·(-25)
Δ = 57600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{57600}=240$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-240}{2*576}=\frac{-240}{1152}
=-5/24
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+240}{2*576}=\frac{240}{1152}
=5/24
$