x2+5x-1800=0

Solution for x2+5x-1800=0 equation:

x2+5x-1800=0

We add all the numbers together, and all the variables

x^2+5x-1800=0

a = 1; b = 5; c = -1800;
Δ = b2-4ac
Δ = 52-4·1·(-1800)
Δ = 7225
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{7225}=85$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(5)-85}{2*1}=\frac{-90}{2}
=-45
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5)+85}{2*1}=\frac{80}{2}
=40
$