930=-16t^(2)+1900

Solution for 930=-16t^(2)+1900 equation:

930=-16t^(2)+1900

We move all terms to the left:

930-(-16t^(2)+1900)=0

We get rid of parentheses

16t^2-1900+930=0

We add all the numbers together, and all the variables

16t^2-970=0

a = 16; b = 0; c = -970;
Δ = b2-4ac
Δ = 02-4·16·(-970)
Δ = 62080
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:

$\sqrt{\Delta}=\sqrt{62080}=\sqrt{64*970}=\sqrt{64}*\sqrt{970}=8\sqrt{970}$
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-8\sqrt{970}}{2*16}=\frac{0-8\sqrt{970}}{32}
=-\frac{8\sqrt{970}}{32}
=-\frac{\sqrt{970}}{4}
$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+8\sqrt{970}}{2*16}=\frac{0+8\sqrt{970}}{32}
=\frac{8\sqrt{970}}{32}
=\frac{\sqrt{970}}{4}
$