x2=25/484

Solution for x2=25/484 equation:

x2=25/484

We move all terms to the left:

x2-(25/484)=0

We add all the numbers together, and all the variables

x2-(+25/484)=0

We add all the numbers together, and all the variables

x^2-(+25/484)=0

We get rid of parentheses

x^2-25/484=0

We multiply all the terms by the denominator


x^2*484-25=0

Wy multiply elements

484x^2-25=0

a = 484; b = 0; c = -25;
Δ = b2-4ac
Δ = 02-4·484·(-25)
Δ = 48400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{48400}=220$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-220}{2*484}=\frac{-220}{968}
=-5/22
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+220}{2*484}=\frac{220}{968}
=5/22
$