# Solve for n 355=(n^2)/5

355=n25
Rewrite the equation as n25=355.
n25=355
Multiply both sides of the equation by 5.
5⋅n25=5⋅355
Simplify both sides of the equation.
Cancel the common factor of 5.
Cancel the common factor.
5⋅n25=5⋅355
Rewrite the expression.
n2=5⋅355
n2=5⋅355
Multiply 5 by 355.
n2=1775
n2=1775
Take the square root of both sides of the equation to eliminate the exponent on the left side.
n=±1775
The complete solution is the result of both the positive and negative portions of the solution.
Simplify the right side of the equation.
Rewrite 1775 as 52⋅71.
Factor 25 out of 1775.
n=±25(71)
Rewrite 25 as 52.
n=±52⋅71
n=±52⋅71
Pull terms out from under the radical.
n=±571
n=±571
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.
n=571
Next, use the negative value of the ± to find the second solution.
n=-571
The complete solution is the result of both the positive and negative portions of the solution.
n=571,-571
n=571,-571
n=571,-571
The result can be shown in multiple forms.
Exact Form:
n=571,-571
Decimal Form:
n=42.13074886…,-42.13074886…
Solve for n 355=(n^2)/5

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