288x^2-450=0

Solution for 288x^2-450=0 equation:

288x^2-450=0

a = 288; b = 0; c = -450;
Δ = b2-4ac
Δ = 02-4·288·(-450)
Δ = 518400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{518400}=720$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-720}{2*288}=\frac{-720}{576}
=-1+1/4
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+720}{2*288}=\frac{720}{576}
=1+1/4
$