What is the answer to 1/(n(n+1))= n/(n+1) ?

The answer to 1/(n(n+1))= n/(n+1) is n=1

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1/(n(n+1))= n/(n+1)

\frac{1}{n ( n + 1 )} = \frac{n}{n + 1}

n = 1

Solution steps

\frac{1}{n ( n + 1 )} = \frac{n}{n + 1}

Cross multiply

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

Solve

n + 1 = n^{2} (n + 1) : n = - 1, n = 1

n = - 1, n = 1

Verify Solutions

Find undefined (singularity) points:

n = - 1, n = 0

Since the equation is undefined for:

- 1

n = 1

0.2 = \frac{( x ^{2} )}{55 - x}

94.5 \cdot \frac{1}{x} = 16

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

925 = \frac{370}{x}

\frac{3}{5} = \frac{n}{2 n - 4}

What is the answer to 1/(n(n+1))= n/(n+1) ?
The answer to 1/(n(n+1))= n/(n+1) is n=1
Solve for n: 1/(n(n+1))= n/(n+1)
The solution is n=1