1331=16t^2

Solution for 1331=16t^2 equation:

1331=16t^2

We move all terms to the left:

1331-(16t^2)=0

a = -16; b = 0; c = +1331;
Δ = b2-4ac
Δ = 02-4·(-16)·1331
Δ = 85184
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:

$\sqrt{\Delta}=\sqrt{85184}=\sqrt{7744*11}=\sqrt{7744}*\sqrt{11}=88\sqrt{11}$
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-88\sqrt{11}}{2*-16}=\frac{0-88\sqrt{11}}{-32}
=-\frac{88\sqrt{11}}{-32}
=-\frac{11\sqrt{11}}{-4}
$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+88\sqrt{11}}{2*-16}=\frac{0+88\sqrt{11}}{-32}
=\frac{88\sqrt{11}}{-32}
=\frac{11\sqrt{11}}{-4}
$