x2=16/625

Solution for x2=16/625 equation:

x2=16/625

We move all terms to the left:

x2-(16/625)=0

We add all the numbers together, and all the variables

x2-(+16/625)=0

We add all the numbers together, and all the variables

x^2-(+16/625)=0

We get rid of parentheses

x^2-16/625=0

We multiply all the terms by the denominator


x^2*625-16=0

Wy multiply elements

625x^2-16=0

a = 625; b = 0; c = -16;
Δ = b2-4ac
Δ = 02-4·625·(-16)
Δ = 40000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{40000}=200$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-200}{2*625}=\frac{-200}{1250}
=-4/25
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+200}{2*625}=\frac{200}{1250}
=4/25
$