x^2+100x-33600=0

Solution for x^2+100x-33600=0 equation:

x^2+100x-33600=0

a = 1; b = 100; c = -33600;
Δ = b2-4ac
Δ = 1002-4·1·(-33600)
Δ = 144400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{144400}=380$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(100)-380}{2*1}=\frac{-480}{2}
=-240
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(100)+380}{2*1}=\frac{280}{2}
=140
$