384x^2-54=0

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

384x^2-54=0

a = 384; b = 0; c = -54;
Δ = b2-4ac
Δ = 02-4·384·(-54)
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*384}=\frac{-288}{768}
=-3/8
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+288}{2*384}=\frac{288}{768}
=3/8
$