# Solve for b 81b^2-1=0 81b2-1=0
Add 1 to both sides of the equation.
81b2=1
Divide each term by 81 and simplify.
Divide each term in 81b2=1 by 81.
81b281=181
Cancel the common factor of 81.
Cancel the common factor.
81b281=181
Divide b2 by 1.
b2=181
b2=181
b2=181
Take the square root of both sides of the equation to eliminate the exponent on the left side.
b=±181
The complete solution is the result of both the positive and negative portions of the solution.
Simplify the right side of the equation.
Rewrite 181 as 181.
b=±181
Any root of 1 is 1.
b=±181
Simplify the denominator.
Rewrite 81 as 92.
b=±192
Pull terms out from under the radical, assuming positive real numbers.
b=±19
b=±19
b=±19
The complete solution is the result of both the positive and negative portions of the solution.
First, use the positive value of the ± to find the first solution.
b=19
Next, use the negative value of the ± to find the second solution.
b=-19
The complete solution is the result of both the positive and negative portions of the solution.
b=19,-19
b=19,-19
b=19,-19
The result can be shown in multiple forms.
Exact Form:
b=19,-19
Decimal Form:
b=0.1‾,-0.1‾
Solve for b 81b^2-1=0

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