X2-64x-11520=0

Solution for X2-64x-11520=0 equation:

X2-64X-11520=0

We add all the numbers together, and all the variables

X^2-64X-11520=0

a = 1; b = -64; c = -11520;
Δ = b2-4ac
Δ = -642-4·1·(-11520)
Δ = 50176
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{50176}=224$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-64)-224}{2*1}=\frac{-160}{2}
=-80
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-64)+224}{2*1}=\frac{288}{2}
=144
$