x^2=25/676

Solution for x^2=25/676 equation:

x^2=25/676

We move all terms to the left:

x^2-(25/676)=0

We add all the numbers together, and all the variables

x^2-(+25/676)=0

We get rid of parentheses

x^2-25/676=0

We multiply all the terms by the denominator


x^2*676-25=0

Wy multiply elements

676x^2-25=0

a = 676; b = 0; c = -25;
Δ = b2-4ac
Δ = 02-4·676·(-25)
Δ = 67600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{67600}=260$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-260}{2*676}=\frac{-260}{1352}
=-5/26
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+260}{2*676}=\frac{260}{1352}
=5/26
$