4.9t^2+16t-300=0

Solution for 4.9t^2+16t-300=0 equation:

4.9t^2+16t-300=0

a = 4.9; b = 16; c = -300;
Δ = b2-4ac
Δ = 162-4·4.9·(-300)
Δ = 6136
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:

$\sqrt{\Delta}=\sqrt{6136}=\sqrt{4*1534}=\sqrt{4}*\sqrt{1534}=2\sqrt{1534}$
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(16)-2\sqrt{1534}}{2*4.9}=\frac{-16-2\sqrt{1534}}{9.8}
$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(16)+2\sqrt{1534}}{2*4.9}=\frac{-16+2\sqrt{1534}}{9.8}
$