384a^2-294=0

Solution for 384a^2-294=0 equation:

384a^2-294=0

a = 384; b = 0; c = -294;
Δ = b2-4ac
Δ = 02-4·384·(-294)
Δ = 451584
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{451584}=672$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-672}{2*384}=\frac{-672}{768}
=-7/8
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+672}{2*384}=\frac{672}{768}
=7/8
$