9b2-6=408

Add 6 to both sides of the equation.

9b2=408+6

Add 408 and 6.

9b2=414

9b2=414

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

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