x2=9/289

Solution for x2=9/289 equation:

x2=9/289

We move all terms to the left:

x2-(9/289)=0

We add all the numbers together, and all the variables

x2-(+9/289)=0

We add all the numbers together, and all the variables

x^2-(+9/289)=0

We get rid of parentheses

x^2-9/289=0

We multiply all the terms by the denominator


x^2*289-9=0

Wy multiply elements

289x^2-9=0

a = 289; b = 0; c = -9;
Δ = b2-4ac
Δ = 02-4·289·(-9)
Δ = 10404
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{10404}=102$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-102}{2*289}=\frac{-102}{578}
=-3/17
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+102}{2*289}=\frac{102}{578}
=3/17
$