x^2=9/529

Solution for x^2=9/529 equation:

x^2=9/529

We move all terms to the left:

x^2-(9/529)=0

We add all the numbers together, and all the variables

x^2-(+9/529)=0

We get rid of parentheses

x^2-9/529=0

We multiply all the terms by the denominator


x^2*529-9=0

Wy multiply elements

529x^2-9=0

a = 529; b = 0; c = -9;
Δ = b2-4ac
Δ = 02-4·529·(-9)
Δ = 19044
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{19044}=138$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-138}{2*529}=\frac{-138}{1058}
=-3/23
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+138}{2*529}=\frac{138}{1058}
=3/23
$