x^2=9/841

Solution for x^2=9/841 equation:

x^2=9/841

We move all terms to the left:

x^2-(9/841)=0

We add all the numbers together, and all the variables

x^2-(+9/841)=0

We get rid of parentheses

x^2-9/841=0

We multiply all the terms by the denominator


x^2*841-9=0

Wy multiply elements

841x^2-9=0

a = 841; b = 0; c = -9;
Δ = b2-4ac
Δ = 02-4·841·(-9)
Δ = 30276
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{30276}=174$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-174}{2*841}=\frac{-174}{1682}
=-3/29
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+174}{2*841}=\frac{174}{1682}
=3/29
$