X(x+8)=244

Solution for X(x+8)=244 equation:

X(X+8)=244

We move all terms to the left:

X(X+8)-(244)=0

We multiply parentheses

X^2+8X-244=0

a = 1; b = 8; c = -244;
Δ = b2-4ac
Δ = 82-4·1·(-244)
Δ = 1040
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:

$\sqrt{\Delta}=\sqrt{1040}=\sqrt{16*65}=\sqrt{16}*\sqrt{65}=4\sqrt{65}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(8)-4\sqrt{65}}{2*1}=\frac{-8-4\sqrt{65}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(8)+4\sqrt{65}}{2*1}=\frac{-8+4\sqrt{65}}{2}
$