2q^2+16000q-1000000=0

Solution for 2q^2+16000q-1000000=0 equation:

2q^2+16000q-1000000=0

a = 2; b = 16000; c = -1000000;
Δ = b2-4ac
Δ = 160002-4·2·(-1000000)
Δ = 264000000
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:

$\sqrt{\Delta}=\sqrt{264000000}=\sqrt{4000000*66}=\sqrt{4000000}*\sqrt{66}=2000\sqrt{66}$
$q_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(16000)-2000\sqrt{66}}{2*2}=\frac{-16000-2000\sqrt{66}}{4}
$
$q_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(16000)+2000\sqrt{66}}{2*2}=\frac{-16000+2000\sqrt{66}}{4}
$