54t^2-384=0

Solution for 54t^2-384=0 equation:

54t^2-384=0

a = 54; b = 0; c = -384;
Δ = b2-4ac
Δ = 02-4·54·(-384)
Δ = 82944
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{82944}=288$
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-288}{2*54}=\frac{-288}{108}
=-2+2/3
$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+288}{2*54}=\frac{288}{108}
=2+2/3
$