34.64t-16.1t^2=0

Solution for 34.64t-16.1t^2=0 equation:

34.64t-16.1t^2=0

a = -16.1; b = 34.64; c = 0;
Δ = b2-4ac
Δ = 34.642-4·(-16.1)·0
Δ = 1199.9296
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{-(34.64)-\sqrt{1199.9296}}{2*-16.1}=\frac{-34.64-\sqrt{1199.9296}}{-32.2}
$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(34.64)+\sqrt{1199.9296}}{2*-16.1}=\frac{-34.64+\sqrt{1199.9296}}{-32.2}
$