x^2=25/256

Solution for x^2=25/256 equation:

x^2=25/256

We move all terms to the left:

x^2-(25/256)=0

We add all the numbers together, and all the variables

x^2-(+25/256)=0

We get rid of parentheses

x^2-25/256=0

We multiply all the terms by the denominator


x^2*256-25=0

Wy multiply elements

256x^2-25=0

a = 256; b = 0; c = -25;
Δ = b2-4ac
Δ = 02-4·256·(-25)
Δ = 25600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{25600}=160$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-160}{2*256}=\frac{-160}{512}
=-5/16
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+160}{2*256}=\frac{160}{512}
=5/16
$