What is the answer to 100= 4/(r^2) ?

The answer to 100= 4/(r^2) is r= 1/5 ,r=-1/5

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100= 4/(r^2)

100 = \frac{4}{r ^{2}}

r = \frac{1}{5}, r = - \frac{1}{5}

Decimal Notation

r = 0.2, r = - 0.2

Solution steps

100 = \frac{4}{r ^{2}}

Multiply both sides by

r^{2}

100 r^{2} = 4

Solve

100 r^{2} = 4 : r = \frac{1}{5}, r = - \frac{1}{5}

r = \frac{1}{5}, r = - \frac{1}{5}

Verify Solutions

Find undefined (singularity) points:

r = 0

Combine undefined points with solutions:

r = \frac{1}{5}, r = - \frac{1}{5}

\frac{4}{x} = \frac{4 x}{9}

\frac{1}{2 x - 3} = \frac{3}{3 x - 2}

\frac{3 x + 3}{3 x - 3} = 0

\frac{3}{q + 9} = \frac{4}{2 q + 6}

- \frac{16}{a} = 3 a - 15

What is the answer to 100= 4/(r^2) ?
The answer to 100= 4/(r^2) is r= 1/5 ,r=-1/5
Solve for r: 100= 4/(r^2)
The solution is r= 1/5 ,r=-1/5