4.9t^2+316t-1248.2=0

Solution for 4.9t^2+316t-1248.2=0 equation:

4.9t^2+316t-1248.2=0

a = 4.9; b = 316; c = -1248.2;
Δ = b2-4ac
Δ = 3162-4·4.9·(-1248.2)
Δ = 124320.72
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{-(316)-\sqrt{124320.72}}{2*4.9}=\frac{-316-\sqrt{124320.72}}{9.8}
$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(316)+\sqrt{124320.72}}{2*4.9}=\frac{-316+\sqrt{124320.72}}{9.8}
$