4.9t^2+12t-75=0

Solution for 4.9t^2+12t-75=0 equation:

4.9t^2+12t-75=0

a = 4.9; b = 12; c = -75;
Δ = b2-4ac
Δ = 122-4·4.9·(-75)
Δ = 1614
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{-(12)-\sqrt{1614}}{2*4.9}=\frac{-12-\sqrt{1614}}{9.8}
$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(12)+\sqrt{1614}}{2*4.9}=\frac{-12+\sqrt{1614}}{9.8}
$