72-288x^2=0

Solution for 72-288x^2=0 equation:

72-288x^2=0

a = -288; b = 0; c = +72;
Δ = b2-4ac
Δ = 02-4·(-288)·72
Δ = 82944
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{82944}=288$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-288}{2*-288}=\frac{-288}{-576}
=1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+288}{2*-288}=\frac{288}{-576}
=-1/2
$