355=n25

Rewrite the equation as n25=355.

n25=355

Multiply both sides of the equation by 5.

5⋅n25=5⋅355

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

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