1600-8x^2=0

Solution for 1600-8x^2=0 equation:

1600-8x^2=0

a = -8; b = 0; c = +1600;
Δ = b2-4ac
Δ = 02-4·(-8)·1600
Δ = 51200
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:

$\sqrt{\Delta}=\sqrt{51200}=\sqrt{25600*2}=\sqrt{25600}*\sqrt{2}=160\sqrt{2}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-160\sqrt{2}}{2*-8}=\frac{0-160\sqrt{2}}{-16}
=-\frac{160\sqrt{2}}{-16}
=-\frac{10\sqrt{2}}{-1}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+160\sqrt{2}}{2*-8}=\frac{0+160\sqrt{2}}{-16}
=\frac{160\sqrt{2}}{-16}
=\frac{10\sqrt{2}}{-1}
$