x^2=64/625

Solution for x^2=64/625 equation:

x^2=64/625

We move all terms to the left:

x^2-(64/625)=0

We add all the numbers together, and all the variables

x^2-(+64/625)=0

We get rid of parentheses

x^2-64/625=0

We multiply all the terms by the denominator


x^2*625-64=0

Wy multiply elements

625x^2-64=0

a = 625; b = 0; c = -64;
Δ = b2-4ac
Δ = 02-4·625·(-64)
Δ = 160000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{160000}=400$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-400}{2*625}=\frac{-400}{1250}
=-8/25
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+400}{2*625}=\frac{400}{1250}
=8/25
$