X2-8x-1008=0

Solution for X2-8x-1008=0 equation:

X2-8X-1008=0

We add all the numbers together, and all the variables

X^2-8X-1008=0

a = 1; b = -8; c = -1008;
Δ = b2-4ac
Δ = -82-4·1·(-1008)
Δ = 4096
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4096}=64$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-8)-64}{2*1}=\frac{-56}{2}
=-28
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-8)+64}{2*1}=\frac{72}{2}
=36
$