# Solve Using the Square Root Property 9b^2-6=408 9b2-6=408
Move all terms not containing b to the right side of the equation.
Add 6 to both sides of the equation.
9b2=408+6
9b2=414
9b2=414
Divide each term by 9 and simplify.
Divide each term in 9b2=414 by 9.
9b29=4149
Cancel the common factor of 9.
Cancel the common factor.
9b29=4149
Divide b2 by 1.
b2=4149
b2=4149
Divide 414 by 9.
b2=46
b2=46
Take the square root of both sides of the equation to eliminate the exponent on the left side.
b=±46
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=46
Next, use the negative value of the ± to find the second solution.
b=-46
The complete solution is the result of both the positive and negative portions of the solution.
b=46,-46
b=46,-46
The result can be shown in multiple forms.
Exact Form:
b=46,-46
Decimal Form:
b=6.78232998…,-6.78232998…
Solve Using the Square Root Property 9b^2-6=408     