4y*12y=324

Solution for 4y*12y=324 equation:

4y*12y=324

We move all terms to the left:

4y*12y-(324)=0

Wy multiply elements

48y^2-324=0

a = 48; b = 0; c = -324;
Δ = b2-4ac
Δ = 02-4·48·(-324)
Δ = 62208
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{62208}=\sqrt{20736*3}=\sqrt{20736}*\sqrt{3}=144\sqrt{3}$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-144\sqrt{3}}{2*48}=\frac{0-144\sqrt{3}}{96}
=-\frac{144\sqrt{3}}{96}
=-\frac{3\sqrt{3}}{2}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+144\sqrt{3}}{2*48}=\frac{0+144\sqrt{3}}{96}
=\frac{144\sqrt{3}}{96}
=\frac{3\sqrt{3}}{2}
$