x^2+390x-27000=0

Solution for x^2+390x-27000=0 equation:

x^2+390x-27000=0

a = 1; b = 390; c = -27000;
Δ = b2-4ac
Δ = 3902-4·1·(-27000)
Δ = 260100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{260100}=510$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(390)-510}{2*1}=\frac{-900}{2}
=-450
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(390)+510}{2*1}=\frac{120}{2}
=60
$