b2=4/81

Solution for b2=4/81 equation:

b2=4/81

We move all terms to the left:

b2-(4/81)=0

We add all the numbers together, and all the variables

b2-(+4/81)=0

We add all the numbers together, and all the variables

b^2-(+4/81)=0

We get rid of parentheses

b^2-4/81=0

We multiply all the terms by the denominator


b^2*81-4=0

Wy multiply elements

81b^2-4=0

a = 81; b = 0; c = -4;
Δ = b2-4ac
Δ = 02-4·81·(-4)
Δ = 1296
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1296}=36$
$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-36}{2*81}=\frac{-36}{162}
=-2/9
$
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+36}{2*81}=\frac{36}{162}
=2/9
$