81x2=324

Solution for 81x2=324 equation:

81x^2=324

We move all terms to the left:

81x^2-(324)=0

a = 81; b = 0; c = -324;
Δ = b2-4ac
Δ = 02-4·81·(-324)
Δ = 104976
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{104976}=324$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-324}{2*81}=\frac{-324}{162}
=-2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+324}{2*81}=\frac{324}{162}
=2
$