x^2+11x-3630=0

Solution for x^2+11x-3630=0 equation:

x^2+11x-3630=0

a = 1; b = 11; c = -3630;
Δ = b2-4ac
Δ = 112-4·1·(-3630)
Δ = 14641
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{14641}=121$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(11)-121}{2*1}=\frac{-132}{2}
=-66
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(11)+121}{2*1}=\frac{110}{2}
=55
$