What is the answer to 1/x+1/(x+3)= 3/10 ?

The answer to 1/x+1/(x+3)= 3/10 is x=(11+sqrt(481))/6 ,x=(11-sqrt(481))/6

Solve for x: 1/x+1/(x+3)= 3/10

The solution is x=(11+sqrt(481))/6 ,x=(11-sqrt(481))/6

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\frac{1}{x} + \frac{1}{x + 3} = \frac{3}{10}

x = \frac{11 + 481}{6}, x = \frac{11 - 481}{6}

Decimal Notation

x = 5.48861 \dots, x = - 1.82195 \dots

Solution steps

\frac{1}{x} + \frac{1}{x + 3} = \frac{3}{10}

Multiply by LCM

10 (x + 3) + 10 x = 3 x (x + 3)

Solve

10 (x + 3) + 10 x = 3 x (x + 3) : x = \frac{11 + 481}{6}, x = \frac{11 - 481}{6}

x = \frac{11 + 481}{6}, x = \frac{11 - 481}{6}

Verify Solutions

Find undefined (singularity) points:

x = 0, x = - 3

Combine undefined points with solutions:

x = \frac{11 + 481}{6}, x = \frac{11 - 481}{6}

\frac{4 x + 1}{x + 1} - 3 = \frac{12}{x ^{2} - 1}

\frac{3 x}{x + 1} = \frac{12}{x ^{2} - 1} + 2

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

\frac{x ^{3}}{x + x + x} = 12

x + \frac{4}{x} = - 5

What is the answer to 1/x+1/(x+3)= 3/10 ?
The answer to 1/x+1/(x+3)= 3/10 is x=(11+sqrt(481))/6 ,x=(11-sqrt(481))/6
Solve for x: 1/x+1/(x+3)= 3/10
The solution is x=(11+sqrt(481))/6 ,x=(11-sqrt(481))/6