48.25=-16t^2+60t+2

Solution for 48.25=-16t^2+60t+2 equation:

48.25=-16t^2+60t+2

We move all terms to the left:

48.25-(-16t^2+60t+2)=0

We get rid of parentheses

16t^2-60t-2+48.25=0

We add all the numbers together, and all the variables

16t^2-60t+46.25=0

a = 16; b = -60; c = +46.25;
Δ = b2-4ac
Δ = -602-4·16·46.25
Δ = 640
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:

$\sqrt{\Delta}=\sqrt{640}=\sqrt{64*10}=\sqrt{64}*\sqrt{10}=8\sqrt{10}$
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-60)-8\sqrt{10}}{2*16}=\frac{60-8\sqrt{10}}{32}
$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-60)+8\sqrt{10}}{2*16}=\frac{60+8\sqrt{10}}{32}
$