x^2+5x-17600=0

Solution for x^2+5x-17600=0 equation:

x^2+5x-17600=0

a = 1; b = 5; c = -17600;
Δ = b2-4ac
Δ = 52-4·1·(-17600)
Δ = 70425
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:

$\sqrt{\Delta}=\sqrt{70425}=\sqrt{225*313}=\sqrt{225}*\sqrt{313}=15\sqrt{313}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(5)-15\sqrt{313}}{2*1}=\frac{-5-15\sqrt{313}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5)+15\sqrt{313}}{2*1}=\frac{-5+15\sqrt{313}}{2}
$