3x2-16x-45000=0

Solution for 3x2-16x-45000=0 equation:

3x^2-16x-45000=0

a = 3; b = -16; c = -45000;
Δ = b2-4ac
Δ = -162-4·3·(-45000)
Δ = 540256
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{540256}=\sqrt{16*33766}=\sqrt{16}*\sqrt{33766}=4\sqrt{33766}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-16)-4\sqrt{33766}}{2*3}=\frac{16-4\sqrt{33766}}{6}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-16)+4\sqrt{33766}}{2*3}=\frac{16+4\sqrt{33766}}{6}
$