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

Math
9b2+5=437
Move all terms not containing b to the right side of the equation.
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Subtract 5 from both sides of the equation.
9b2=437-5
Subtract 5 from 437.
9b2=432
9b2=432
Divide each term by 9 and simplify.
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Divide each term in 9b2=432 by 9.
9b29=4329
Cancel the common factor of 9.
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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
The complete solution is the result of both the positive and negative portions of the solution.
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Simplify the right side of the equation.
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Rewrite 48 as 42⋅3.
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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.
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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

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