x2=25/361

Solution for x2=25/361 equation:

x2=25/361

We move all terms to the left:

x2-(25/361)=0

We add all the numbers together, and all the variables

x2-(+25/361)=0

We add all the numbers together, and all the variables

x^2-(+25/361)=0

We get rid of parentheses

x^2-25/361=0

We multiply all the terms by the denominator


x^2*361-25=0

Wy multiply elements

361x^2-25=0

a = 361; b = 0; c = -25;
Δ = b2-4ac
Δ = 02-4·361·(-25)
Δ = 36100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{36100}=190$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-190}{2*361}=\frac{-190}{722}
=-5/19
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+190}{2*361}=\frac{190}{722}
=5/19
$