48-8x2=0

Solution for 48-8x2=0 equation:

48-8x^2=0

a = -8; b = 0; c = +48;
Δ = b2-4ac
Δ = 02-4·(-8)·48
Δ = 1536
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:

$\sqrt{\Delta}=\sqrt{1536}=\sqrt{256*6}=\sqrt{256}*\sqrt{6}=16\sqrt{6}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-16\sqrt{6}}{2*-8}=\frac{0-16\sqrt{6}}{-16}
=-\frac{16\sqrt{6}}{-16}
=-\frac{\sqrt{6}}{-1}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+16\sqrt{6}}{2*-8}=\frac{0+16\sqrt{6}}{-16}
=\frac{16\sqrt{6}}{-16}
=\frac{\sqrt{6}}{-1}
$