What is the answer to 1/((3n+2)^2)=0.005 ?

The answer to 1/((3n+2)^2)=0.005 is n=(10sqrt(2)-2)/3 ,n=(-10sqrt(2)-2)/3

Solve for n: 1/((3n+2)^2)=0.005

The solution is n=(10sqrt(2)-2)/3 ,n=(-10sqrt(2)-2)/3

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\frac{1}{( 3 n + 2 ) ^{2}} = 0.005

n = \frac{10 2 - 2}{3}, n = \frac{- 10 2 - 2}{3}

Decimal Notation

n = 4.04737 \dots, n = - 5.38071 \dots

Solution steps

\frac{1}{( 3 n + 2 ) ^{2}} = 0.005

Multiply both sides by

(3 n + 2)^{2}

1 = 0.005 (3 n + 2)^{2}

Solve

1 = 0.005 (3 n + 2)^{2} : n = \frac{10 2 - 2}{3}, n = \frac{- 10 2 - 2}{3}

n = \frac{10 2 - 2}{3}, n = \frac{- 10 2 - 2}{3}

Verify Solutions

Find undefined (singularity) points:

n = - \frac{2}{3}

Combine undefined points with solutions:

n = \frac{10 2 - 2}{3}, n = \frac{- 10 2 - 2}{3}

2 = \frac{4}{1 - r}

\frac{3 k}{7 k} = \frac{C}{C + 1470}

\frac{x - 1}{x + 1} = \frac{5}{6}

- \frac{2}{5 y} = 4

a^{- 2} = \frac{1}{16}

What is the answer to 1/((3n+2)^2)=0.005 ?
The answer to 1/((3n+2)^2)=0.005 is n=(10sqrt(2)-2)/3 ,n=(-10sqrt(2)-2)/3
Solve for n: 1/((3n+2)^2)=0.005
The solution is n=(10sqrt(2)-2)/3 ,n=(-10sqrt(2)-2)/3