x^2=9/484

Solution for x^2=9/484 equation:

x^2=9/484

We move all terms to the left:

x^2-(9/484)=0

We add all the numbers together, and all the variables

x^2-(+9/484)=0

We get rid of parentheses

x^2-9/484=0

We multiply all the terms by the denominator


x^2*484-9=0

Wy multiply elements

484x^2-9=0

a = 484; b = 0; c = -9;
Δ = b2-4ac
Δ = 02-4·484·(-9)
Δ = 17424
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{17424}=132$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-132}{2*484}=\frac{-132}{968}
=-3/22
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+132}{2*484}=\frac{132}{968}
=3/22
$