0=-16t^2+96t+170

Solution for 0=-16t^2+96t+170 equation:

0=-16t^2+96t+170

We move all terms to the left:

0-(-16t^2+96t+170)=0

We add all the numbers together, and all the variables

-(-16t^2+96t+170)=0

We get rid of parentheses

16t^2-96t-170=0

a = 16; b = -96; c = -170;
Δ = b2-4ac
Δ = -962-4·16·(-170)
Δ = 20096
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:

$\sqrt{\Delta}=\sqrt{20096}=\sqrt{64*314}=\sqrt{64}*\sqrt{314}=8\sqrt{314}$
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-96)-8\sqrt{314}}{2*16}=\frac{96-8\sqrt{314}}{32}
$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-96)+8\sqrt{314}}{2*16}=\frac{96+8\sqrt{314}}{32}
$