18.9q^2-7560q-1008000=0

Solution for 18.9q^2-7560q-1008000=0 equation:

18.9q^2-7560q-1008000=0

a = 18.9; b = -7560; c = -1008000;
Δ = b2-4ac
Δ = -75602-4·18.9·(-1008000)
Δ = 133358400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$q_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$q_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{133358400}=\sqrt{6350400*21}=\sqrt{6350400}*\sqrt{21}=2520\sqrt{21}$
$q_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-7560)-2520\sqrt{21}}{2*18.9}=\frac{7560-2520\sqrt{21}}{37.8}
$
$q_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-7560)+2520\sqrt{21}}{2*18.9}=\frac{7560+2520\sqrt{21}}{37.8}
$