x(2)=9/361

Solution for x(2)=9/361 equation:

x(2)=9/361

We move all terms to the left:

x(2)-(9/361)=0

We add all the numbers together, and all the variables

x2-(+9/361)=0

We add all the numbers together, and all the variables

x^2-(+9/361)=0

We get rid of parentheses

x^2-9/361=0

We multiply all the terms by the denominator


x^2*361-9=0

Wy multiply elements

361x^2-9=0

a = 361; b = 0; c = -9;
Δ = b2-4ac
Δ = 02-4·361·(-9)
Δ = 12996
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{12996}=114$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-114}{2*361}=\frac{-114}{722}
=-3/19
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+114}{2*361}=\frac{114}{722}
=3/19
$