16t^2=1437

Solution for 16t^2=1437 equation:

16t^2=1437

We move all terms to the left:

16t^2-(1437)=0

a = 16; b = 0; c = -1437;
Δ = b2-4ac
Δ = 02-4·16·(-1437)
Δ = 91968
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:

$\sqrt{\Delta}=\sqrt{91968}=\sqrt{64*1437}=\sqrt{64}*\sqrt{1437}=8\sqrt{1437}$
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-8\sqrt{1437}}{2*16}=\frac{0-8\sqrt{1437}}{32}
=-\frac{8\sqrt{1437}}{32}
=-\frac{\sqrt{1437}}{4}
$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+8\sqrt{1437}}{2*16}=\frac{0+8\sqrt{1437}}{32}
=\frac{8\sqrt{1437}}{32}
=\frac{\sqrt{1437}}{4}
$