# Solve using the Square Root Property 9b^2-1=0

9b2-1=0
Add 1 to both sides of the equation.
9b2=1
Divide each term by 9 and simplify.
Divide each term in 9b2=1 by 9.
9b29=19
Cancel the common factor of 9.
Cancel the common factor.
9b29=19
Divide b2 by 1.
b2=19
b2=19
b2=19
Take the square root of both sides of the equation to eliminate the exponent on the left side.
b=±19
The complete solution is the result of both the positive and negative portions of the solution.
Simplify the right side of the equation.
Rewrite 19 as 19.
b=±19
Any root of 1 is 1.
b=±19
Simplify the denominator.
Rewrite 9 as 32.
b=±132
Pull terms out from under the radical, assuming positive real numbers.
b=±13
b=±13
b=±13
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=13
Next, use the negative value of the ± to find the second solution.
b=-13
The complete solution is the result of both the positive and negative portions of the solution.
b=13,-13
b=13,-13
b=13,-13
Solve using the Square Root Property 9b^2-1=0