X*y=270

Solution for X*y=270 equation:

X*X=270

We move all terms to the left:

X*X-(270)=0

Wy multiply elements

X^2-270=0

a = 1; b = 0; c = -270;
Δ = b2-4ac
Δ = 02-4·1·(-270)
Δ = 1080
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:

$\sqrt{\Delta}=\sqrt{1080}=\sqrt{36*30}=\sqrt{36}*\sqrt{30}=6\sqrt{30}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-6\sqrt{30}}{2*1}=\frac{0-6\sqrt{30}}{2}
=-\frac{6\sqrt{30}}{2}
=-3\sqrt{30}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+6\sqrt{30}}{2*1}=\frac{0+6\sqrt{30}}{2}
=\frac{6\sqrt{30}}{2}
=3\sqrt{30}
$