X^2+8x-204=0

Solution for X^2+8x-204=0 equation:

X^2+8X-204=0

a = 1; b = 8; c = -204;
Δ = b2-4ac
Δ = 82-4·1·(-204)
Δ = 880
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:

$\sqrt{\Delta}=\sqrt{880}=\sqrt{16*55}=\sqrt{16}*\sqrt{55}=4\sqrt{55}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(8)-4\sqrt{55}}{2*1}=\frac{-8-4\sqrt{55}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(8)+4\sqrt{55}}{2*1}=\frac{-8+4\sqrt{55}}{2}
$