x^2-3x-1800=0

Solution for x^2-3x-1800=0 equation:

x^2-3x-1800=0

a = 1; b = -3; c = -1800;
Δ = b2-4ac
Δ = -32-4·1·(-1800)
Δ = 7209
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:

$\sqrt{\Delta}=\sqrt{7209}=\sqrt{81*89}=\sqrt{81}*\sqrt{89}=9\sqrt{89}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-3)-9\sqrt{89}}{2*1}=\frac{3-9\sqrt{89}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-3)+9\sqrt{89}}{2*1}=\frac{3+9\sqrt{89}}{2}
$