3.81=1000⋅1000÷s2

Rewrite the equation as 1000⋅1000÷s2=3.81.

1000⋅1000÷s2=3.81

Rewrite the division as a fraction.

1000⋅1000s2=3.81

Multiply 1000 by 1000.

1000000s2=3.81

1000000s2=3.81

Multiply each term by s2 and simplify.

Multiply each term in 1000000s2=3.81 by s2.

1000000s2⋅s2=3.81⋅s2

Cancel the common factor of s2.

Cancel the common factor.

1000000s2⋅s2=3.81⋅s2

Rewrite the expression.

1000000=3.81⋅s2

1000000=3.81s2

1000000=3.81s2

Rewrite the equation as 3.81s2=1000000.

3.81s2=1000000

Divide each term by 3.81 and simplify.

Divide each term in 3.81s2=1000000 by 3.81.

3.81s23.81=10000003.81

Cancel the common factor of 3.81.

s2=10000003.81

Divide 1000000 by 3.81.

s2=262467.19160104

s2=262467.19160104

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

s=±262467.19160104

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.

s=262467.19160104

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

s=-262467.19160104

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

s=262467.19160104,-262467.19160104

s=262467.19160104,-262467.19160104

s=262467.19160104,-262467.19160104

The result can be shown in multiple forms.

Exact Form:

s=262467.19160104,-262467.19160104

Decimal Form:

s=512.31551957…,-512.31551957…

Solve for s 3.81=(1000*1000)÷(s^2)