X^2-40x-48000=0

Solution for X^2-40x-48000=0 equation:

X^2-40X-48000=0

a = 1; b = -40; c = -48000;
Δ = b2-4ac
Δ = -402-4·1·(-48000)
Δ = 193600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{193600}=440$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-40)-440}{2*1}=\frac{-400}{2}
=-200
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-40)+440}{2*1}=\frac{480}{2}
=240
$