80-16t^2=0

Solution for 80-16t^2=0 equation:

80-16t^2=0

a = -16; b = 0; c = +80;
Δ = b2-4ac
Δ = 02-4·(-16)·80
Δ = 5120
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{5120}=\sqrt{1024*5}=\sqrt{1024}*\sqrt{5}=32\sqrt{5}$
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-32\sqrt{5}}{2*-16}=\frac{0-32\sqrt{5}}{-32}
=-\frac{32\sqrt{5}}{-32}
=-\frac{\sqrt{5}}{-1}
$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+32\sqrt{5}}{2*-16}=\frac{0+32\sqrt{5}}{-32}
=\frac{32\sqrt{5}}{-32}
=\frac{\sqrt{5}}{-1}
$