x^2+3x-1332=0

Solution for x^2+3x-1332=0 equation:

x^2+3x-1332=0

a = 1; b = 3; c = -1332;
Δ = b2-4ac
Δ = 32-4·1·(-1332)
Δ = 5337
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:

$\sqrt{\Delta}=\sqrt{5337}=\sqrt{9*593}=\sqrt{9}*\sqrt{593}=3\sqrt{593}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(3)-3\sqrt{593}}{2*1}=\frac{-3-3\sqrt{593}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+3\sqrt{593}}{2*1}=\frac{-3+3\sqrt{593}}{2}
$