X2+241x-3840=0

Solution for X2+241x-3840=0 equation:

X2+241X-3840=0

We add all the numbers together, and all the variables

X^2+241X-3840=0

a = 1; b = 241; c = -3840;
Δ = b2-4ac
Δ = 2412-4·1·(-3840)
Δ = 73441
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{73441}=271$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(241)-271}{2*1}=\frac{-512}{2}
=-256
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(241)+271}{2*1}=\frac{30}{2}
=15
$