18b^2=2/18

Solution for 18b^2=2/18 equation:

18b^2=2/18

We move all terms to the left:

18b^2-(2/18)=0

We add all the numbers together, and all the variables

18b^2-(+2/18)=0

We get rid of parentheses

18b^2-2/18=0

We multiply all the terms by the denominator


18b^2*18-2=0

Wy multiply elements

324b^2-2=0

a = 324; b = 0; c = -2;
Δ = b2-4ac
Δ = 02-4·324·(-2)
Δ = 2592
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{2592}=\sqrt{1296*2}=\sqrt{1296}*\sqrt{2}=36\sqrt{2}$
$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-36\sqrt{2}}{2*324}=\frac{0-36\sqrt{2}}{648}
=-\frac{36\sqrt{2}}{648}
=-\frac{\sqrt{2}}{18}
$
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+36\sqrt{2}}{2*324}=\frac{0+36\sqrt{2}}{648}
=\frac{36\sqrt{2}}{648}
=\frac{\sqrt{2}}{18}
$