X*x=208

Solution for X*x=208 equation:

X*X=208

We move all terms to the left:

X*X-(208)=0

Wy multiply elements

X^2-208=0

a = 1; b = 0; c = -208;
Δ = b2-4ac
Δ = 02-4·1·(-208)
Δ = 832
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:

$\sqrt{\Delta}=\sqrt{832}=\sqrt{64*13}=\sqrt{64}*\sqrt{13}=8\sqrt{13}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-8\sqrt{13}}{2*1}=\frac{0-8\sqrt{13}}{2}
=-\frac{8\sqrt{13}}{2}
=-4\sqrt{13}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+8\sqrt{13}}{2*1}=\frac{0+8\sqrt{13}}{2}
=\frac{8\sqrt{13}}{2}
=4\sqrt{13}
$