x^2=4/289

Solution for x^2=4/289 equation:

x^2=4/289

We move all terms to the left:

x^2-(4/289)=0

We add all the numbers together, and all the variables

x^2-(+4/289)=0

We get rid of parentheses

x^2-4/289=0

We multiply all the terms by the denominator


x^2*289-4=0

Wy multiply elements

289x^2-4=0

a = 289; b = 0; c = -4;
Δ = b2-4ac
Δ = 02-4·289·(-4)
Δ = 4624
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4624}=68$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-68}{2*289}=\frac{-68}{578}
=-2/17
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+68}{2*289}=\frac{68}{578}
=2/17
$