9b2+5=437

Subtract 5 from both sides of the equation.

9b2=437-5

Subtract 5 from 437.

9b2=432

9b2=432

Divide each term in 9b2=432 by 9.

9b29=4329

Cancel the common factor of 9.

Cancel the common factor.

9b29=4329

Divide b2 by 1.

b2=4329

b2=4329

Divide 432 by 9.

b2=48

b2=48

Take the square root of both sides of the equation to eliminate the exponent on the left side.

b=±48

Simplify the right side of the equation.

Rewrite 48 as 42⋅3.

Factor 16 out of 48.

b=±16(3)

Rewrite 16 as 42.

b=±42⋅3

b=±42⋅3

Pull terms out from under the radical.

b=±43

b=±43

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=43

Next, use the negative value of the ± to find the second solution.

b=-43

The complete solution is the result of both the positive and negative portions of the solution.

b=43,-43

b=43,-43

b=43,-43

The result can be shown in multiple forms.

Exact Form:

b=43,-43

Decimal Form:

b=6.92820323…,-6.92820323…

Solve Using the Square Root Property 9b^2+5=437