x^2=25/841

Solution for x^2=25/841 equation:

x^2=25/841

We move all terms to the left:

x^2-(25/841)=0

We add all the numbers together, and all the variables

x^2-(+25/841)=0

We get rid of parentheses

x^2-25/841=0

We multiply all the terms by the denominator


x^2*841-25=0

Wy multiply elements

841x^2-25=0

a = 841; b = 0; c = -25;
Δ = b2-4ac
Δ = 02-4·841·(-25)
Δ = 84100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{84100}=290$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-290}{2*841}=\frac{-290}{1682}
=-5/29
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+290}{2*841}=\frac{290}{1682}
=5/29
$