X2-8x-50=0

Solution for X2-8x-50=0 equation:

X2-8X-50=0

We add all the numbers together, and all the variables

X^2-8X-50=0

a = 1; b = -8; c = -50;
Δ = b2-4ac
Δ = -82-4·1·(-50)
Δ = 264
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{264}=\sqrt{4*66}=\sqrt{4}*\sqrt{66}=2\sqrt{66}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-8)-2\sqrt{66}}{2*1}=\frac{8-2\sqrt{66}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-8)+2\sqrt{66}}{2*1}=\frac{8+2\sqrt{66}}{2}
$