-4.9t^2+50t+2=0

Solution for -4.9t^2+50t+2=0 equation:

-4.9t^2+50t+2=0

a = -4.9; b = 50; c = +2;
Δ = b2-4ac
Δ = 502-4·(-4.9)·2
Δ = 2539.2
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{-(50)-\sqrt{2539.2}}{2*-4.9}=\frac{-50-\sqrt{2539.2}}{-9.8}
$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(50)+\sqrt{2539.2}}{2*-4.9}=\frac{-50+\sqrt{2539.2}}{-9.8}
$