Solve for s 3.81=(1000*1000)÷(s^2)

Math
3.81=1000⋅1000÷s2
Rewrite the equation as 1000⋅1000÷s2=3.81.
1000⋅1000÷s2=3.81
Simplify 1000⋅1000÷s2.
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Rewrite the division as a fraction.
1000⋅1000s2=3.81
Multiply 1000 by 1000.
1000000s2=3.81
1000000s2=3.81
Solve for s.
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Multiply each term by s2 and simplify.
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Multiply each term in 1000000s2=3.81 by s2.
1000000s2⋅s2=3.81⋅s2
Cancel the common factor of s2.
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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.
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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.
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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)

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