2x^2=18/81

Solution for 2x^2=18/81 equation:

2x^2=18/81

We move all terms to the left:

2x^2-(18/81)=0

We add all the numbers together, and all the variables

2x^2-(+18/81)=0

We get rid of parentheses

2x^2-18/81=0

We multiply all the terms by the denominator


2x^2*81-18=0

Wy multiply elements

162x^2-18=0

a = 162; b = 0; c = -18;
Δ = b2-4ac
Δ = 02-4·162·(-18)
Δ = 11664
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{11664}=108$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-108}{2*162}=\frac{-108}{324}
=-1/3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+108}{2*162}=\frac{108}{324}
=1/3
$