x^2=25/441

Solution for x^2=25/441 equation:

x^2=25/441

We move all terms to the left:

x^2-(25/441)=0

We add all the numbers together, and all the variables

x^2-(+25/441)=0

We get rid of parentheses

x^2-25/441=0

We multiply all the terms by the denominator


x^2*441-25=0

Wy multiply elements

441x^2-25=0

a = 441; b = 0; c = -25;
Δ = b2-4ac
Δ = 02-4·441·(-25)
Δ = 44100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{44100}=210$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-210}{2*441}=\frac{-210}{882}
=-5/21
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+210}{2*441}=\frac{210}{882}
=5/21
$