x^2=36/441

Solution for x^2=36/441 equation:

x^2=36/441

We move all terms to the left:

x^2-(36/441)=0

We add all the numbers together, and all the variables

x^2-(+36/441)=0

We get rid of parentheses

x^2-36/441=0

We multiply all the terms by the denominator


x^2*441-36=0

Wy multiply elements

441x^2-36=0

a = 441; b = 0; c = -36;
Δ = b2-4ac
Δ = 02-4·441·(-36)
Δ = 63504
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{63504}=252$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-252}{2*441}=\frac{-252}{882}
=-2/7
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+252}{2*441}=\frac{252}{882}
=2/7
$