x2-11x-480=0

Solution for x2-11x-480=0 equation:

x2-11x-480=0

We add all the numbers together, and all the variables

x^2-11x-480=0

a = 1; b = -11; c = -480;
Δ = b2-4ac
Δ = -112-4·1·(-480)
Δ = 2041
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-11)-\sqrt{2041}}{2*1}=\frac{11-\sqrt{2041}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-11)+\sqrt{2041}}{2*1}=\frac{11+\sqrt{2041}}{2}
$