X2+(x+2)2=244

Solution for X2+(x+2)2=244 equation:

X2+(X+2)2=244

We move all terms to the left:

X2+(X+2)2-(244)=0

We add all the numbers together, and all the variables

X^2+(X+2)2-244=0

We multiply parentheses

X^2+2X+4-244=0

We add all the numbers together, and all the variables

X^2+2X-240=0

a = 1; b = 2; c = -240;
Δ = b2-4ac
Δ = 22-4·1·(-240)
Δ = 964
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:

$\sqrt{\Delta}=\sqrt{964}=\sqrt{4*241}=\sqrt{4}*\sqrt{241}=2\sqrt{241}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(2)-2\sqrt{241}}{2*1}=\frac{-2-2\sqrt{241}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2)+2\sqrt{241}}{2*1}=\frac{-2+2\sqrt{241}}{2}
$