What is the answer to 8=(10)/r*r^2 ?

The answer to 8=(10)/r*r^2 is r= 4/5

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8=(10)/r*r^2

8 = \frac{10}{r} \cdot r^{2}

r = \frac{4}{5}

Decimal Notation

r = 0.8

Solution steps

8 = \frac{10}{r} r^{2}

Simplify

\frac{10}{r} r^{2} : 10 r

8 = 10 r

Switch sides

10 r = 8

Divide both sides by

10

r = \frac{4}{5}

Verify Solutions

Find undefined (singularity) points:

r = 0

Combine undefined points with solutions:

r = \frac{4}{5}

\frac{34 + 3 x}{18 + x} = 2.2

5 + \frac{z}{z + 2} = 1

\frac{x + 2}{x - 2} = \frac{3}{5}

\frac{40}{x + 1} = 0

x + 7 - \frac{5}{x - 3} = 5