289x^2=324

Solution for 289x^2=324 equation:

289x^2=324

We move all terms to the left:

289x^2-(324)=0

a = 289; b = 0; c = -324;
Δ = b2-4ac
Δ = 02-4·289·(-324)
Δ = 374544
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{374544}=612$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-612}{2*289}=\frac{-612}{578}
=-1+1/17
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+612}{2*289}=\frac{612}{578}
=1+1/17
$