X*y=306

Solution for X*y=306 equation:

X*X=306

We move all terms to the left:

X*X-(306)=0

Wy multiply elements

X^2-306=0

a = 1; b = 0; c = -306;
Δ = b2-4ac
Δ = 02-4·1·(-306)
Δ = 1224
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:

$\sqrt{\Delta}=\sqrt{1224}=\sqrt{36*34}=\sqrt{36}*\sqrt{34}=6\sqrt{34}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-6\sqrt{34}}{2*1}=\frac{0-6\sqrt{34}}{2}
=-\frac{6\sqrt{34}}{2}
=-3\sqrt{34}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+6\sqrt{34}}{2*1}=\frac{0+6\sqrt{34}}{2}
=\frac{6\sqrt{34}}{2}
=3\sqrt{34}
$