T=-16t^2+1776

Solution for T=-16t^2+1776 equation:

=-16T^2+1776

We move all terms to the left:

-(-16T^2+1776)=0

We get rid of parentheses

16T^2-1776=0

a = 16; b = 0; c = -1776;
Δ = b2-4ac
Δ = 02-4·16·(-1776)
Δ = 113664
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:

$\sqrt{\Delta}=\sqrt{113664}=\sqrt{1024*111}=\sqrt{1024}*\sqrt{111}=32\sqrt{111}$
$T_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-32\sqrt{111}}{2*16}=\frac{0-32\sqrt{111}}{32}
=-\frac{32\sqrt{111}}{32}
=-\sqrt{111}
$
$T_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+32\sqrt{111}}{2*16}=\frac{0+32\sqrt{111}}{32}
=\frac{32\sqrt{111}}{32}
=\sqrt{111}
$