-4.9t^2+14t+10=0

Solution for -4.9t^2+14t+10=0 equation:

-4.9t^2+14t+10=0

a = -4.9; b = 14; c = +10;
Δ = b2-4ac
Δ = 142-4·(-4.9)·10
Δ = 392
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:

$\sqrt{\Delta}=\sqrt{392}=\sqrt{196*2}=\sqrt{196}*\sqrt{2}=14\sqrt{2}$
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(14)-14\sqrt{2}}{2*-4.9}=\frac{-14-14\sqrt{2}}{-9.8}
$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(14)+14\sqrt{2}}{2*-4.9}=\frac{-14+14\sqrt{2}}{-9.8}
$