4.9t^2+343t-2846.9=0

Solution for 4.9t^2+343t-2846.9=0 equation:

4.9t^2+343t-2846.9=0

a = 4.9; b = 343; c = -2846.9;
Δ = b2-4ac
Δ = 3432-4·4.9·(-2846.9)
Δ = 173448.24
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{-(343)-\sqrt{173448.24}}{2*4.9}=\frac{-343-\sqrt{173448.24}}{9.8}
$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(343)+\sqrt{173448.24}}{2*4.9}=\frac{-343+\sqrt{173448.24}}{9.8}
$