16t^2-191t-30=0

Solution for 16t^2-191t-30=0 equation:

16t^2-191t-30=0

a = 16; b = -191; c = -30;
Δ = b2-4ac
Δ = -1912-4·16·(-30)
Δ = 38401
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{-(-191)-\sqrt{38401}}{2*16}=\frac{191-\sqrt{38401}}{32}
$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-191)+\sqrt{38401}}{2*16}=\frac{191+\sqrt{38401}}{32}
$