What is the answer to (m+2)(1/m+2)=10 ?

The answer to (m+2)(1/m+2)=10 is m=2,m= 1/2

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(m+2)(1/m+2)=10

(m + 2) (\frac{1}{m} + 2) = 10

m = 2, m = \frac{1}{2}

Decimal Notation

m = 2, m = 0.5

Solution steps

(m + 2) (\frac{1}{m} + 2) = 10

Simplify

(m + 2) (\frac{1}{m} + 2) : 2 m + \frac{2}{m} + 5

2 m + \frac{2}{m} + 5 = 10

Multiply both sides by

m

2 m^{2} + 2 + 5 m = 10 m

Solve

2 m^{2} + 2 + 5 m = 10 m : m = 2, m = \frac{1}{2}

m = 2, m = \frac{1}{2}

Verify Solutions

Find undefined (singularity) points:

m = 0

Combine undefined points with solutions:

m = 2, m = \frac{1}{2}

\frac{2}{8} = \frac{1}{x}

x, f = \frac{4}{x + 2}

65 = \frac{4.23}{0.13 - x}

\frac{7}{3 x - 2} = \frac{21}{30}

\frac{1}{x + 1} + 5 = \frac{21}{x + 1}

What is the answer to (m+2)(1/m+2)=10 ?
The answer to (m+2)(1/m+2)=10 is m=2,m= 1/2
Solve for m: (m+2)(1/m+2)=10
The solution is m=2,m= 1/2