What is the answer to 182.5^2= 1/x 0.7^3 ?

The answer to 182.5^2= 1/x 0.7^3 is x= 343/33306250

Solve for x: 182.5^2= 1/x 0.7^3

The solution is x= 343/33306250

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182. 5^{2} = \frac{1}{x} 0. 7^{3}

x = \frac{343}{33306250}

Decimal Notation

x = 0.00001 \dots

Solution steps

182. 5^{2} = \frac{1}{x} \cdot 0. 7^{3}

Simplify

\frac{1}{x} \cdot 0. 7^{3} : \frac{0.343}{x}

182. 5^{2} = \frac{0.343}{x}

Multiply both sides by

x

33306.25 x = 0.343

Multiply both sides by

1000

33306250 x = 343

Divide both sides by

33306250

x = \frac{343}{33306250}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{343}{33306250}

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\frac{x ^{2} - 64}{8 x - x ^{2}} = 0

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What is the answer to 182.5^2= 1/x 0.7^3 ?
The answer to 182.5^2= 1/x 0.7^3 is x= 343/33306250
Solve for x: 182.5^2= 1/x 0.7^3
The solution is x= 343/33306250