0=-4.9t^2+25.5t+4

Solution for 0=-4.9t^2+25.5t+4 equation:

0=-4.9t^2+25.5t+4

We move all terms to the left:

0-(-4.9t^2+25.5t+4)=0

We add all the numbers together, and all the variables

-(-4.9t^2+25.5t+4)=0

We get rid of parentheses

4.9t^2-25.5t-4=0

a = 4.9; b = -25.5; c = -4;
Δ = b2-4ac
Δ = -25.52-4·4.9·(-4)
Δ = 728.65
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-25.5)-\sqrt{728.65}}{2*4.9}=\frac{25.5-\sqrt{728.65}}{9.8}
$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-25.5)+\sqrt{728.65}}{2*4.9}=\frac{25.5+\sqrt{728.65}}{9.8}
$