81x^2+2=146

Solution for 81x^2+2=146 equation:

81x^2+2=146

We move all terms to the left:

81x^2+2-(146)=0

We add all the numbers together, and all the variables

81x^2-144=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
$