X*y=102

Solution for X*y=102 equation:

X*X=102

We move all terms to the left:

X*X-(102)=0

Wy multiply elements

X^2-102=0

a = 1; b = 0; c = -102;
Δ = b2-4ac
Δ = 02-4·1·(-102)
Δ = 408
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:

$\sqrt{\Delta}=\sqrt{408}=\sqrt{4*102}=\sqrt{4}*\sqrt{102}=2\sqrt{102}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{102}}{2*1}=\frac{0-2\sqrt{102}}{2}
=-\frac{2\sqrt{102}}{2}
=-\sqrt{102}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{102}}{2*1}=\frac{0+2\sqrt{102}}{2}
=\frac{2\sqrt{102}}{2}
=\sqrt{102}
$