x^2=144/625

Solution for x^2=144/625 equation:

x^2=144/625

We move all terms to the left:

x^2-(144/625)=0

We add all the numbers together, and all the variables

x^2-(+144/625)=0

We get rid of parentheses

x^2-144/625=0

We multiply all the terms by the denominator


x^2*625-144=0

Wy multiply elements

625x^2-144=0

a = 625; b = 0; c = -144;
Δ = b2-4ac
Δ = 02-4·625·(-144)
Δ = 360000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{360000}=600$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-600}{2*625}=\frac{-600}{1250}
=-12/25
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+600}{2*625}=\frac{600}{1250}
=12/25
$