-16x^2+1544=0

Solution for -16x^2+1544=0 equation:

-16x^2+1544=0

a = -16; b = 0; c = +1544;
Δ = b2-4ac
Δ = 02-4·(-16)·1544
Δ = 98816
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{98816}=\sqrt{256*386}=\sqrt{256}*\sqrt{386}=16\sqrt{386}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-16\sqrt{386}}{2*-16}=\frac{0-16\sqrt{386}}{-32}
=-\frac{16\sqrt{386}}{-32}
=-\frac{\sqrt{386}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+16\sqrt{386}}{2*-16}=\frac{0+16\sqrt{386}}{-32}
=\frac{16\sqrt{386}}{-32}
=\frac{\sqrt{386}}{-2}
$