x^2=400/625

Solution for x^2=400/625 equation:

x^2=400/625

We move all terms to the left:

x^2-(400/625)=0

We add all the numbers together, and all the variables

x^2-(+400/625)=0

We get rid of parentheses

x^2-400/625=0

We multiply all the terms by the denominator


x^2*625-400=0

Wy multiply elements

625x^2-400=0

a = 625; b = 0; c = -400;
Δ = b2-4ac
Δ = 02-4·625·(-400)
Δ = 1000000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1000000}=1000$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-1000}{2*625}=\frac{-1000}{1250}
=-4/5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+1000}{2*625}=\frac{1000}{1250}
=4/5
$