144=81x2

Solution for 144=81x2 equation:

144=81x^2

We move all terms to the left:

144-(81x^2)=0

a = -81; b = 0; c = +144;
Δ = b2-4ac
Δ = 02-4·(-81)·144
Δ = 46656
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{46656}=216$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-216}{2*-81}=\frac{-216}{-162}
=1+1/3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+216}{2*-81}=\frac{216}{-162}
=-1+1/3
$