4.9t^2-75t-1130=0

Solution for 4.9t^2-75t-1130=0 equation:

4.9t^2-75t-1130=0

a = 4.9; b = -75; c = -1130;
Δ = b2-4ac
Δ = -752-4·4.9·(-1130)
Δ = 27773
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{-(-75)-\sqrt{27773}}{2*4.9}=\frac{75-\sqrt{27773}}{9.8}
$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-75)+\sqrt{27773}}{2*4.9}=\frac{75+\sqrt{27773}}{9.8}
$