What is the answer to solvefor x,(3x+1)/x =2x+1 ?

The answer to solvefor x,(3x+1)/x =2x+1 is x=(1+sqrt(3))/2 ,x=(1-sqrt(3))/2

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solvefor x,(3x+1)/x =2x+1

solve for

x, \frac{3 x + 1}{x} = 2 x + 1

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

Decimal Notation

x = 1.36602 \dots, x = - 0.36602 \dots

Solution steps

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

Multiply both sides by

x

3 x + 1 = 2 x^{2} + x

Solve

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

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

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

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

\frac{2}{5 x} + \frac{x + 1}{x} = 2

\frac{4}{x + 8} = \frac{6}{x}

x - \frac{7}{x + 9} = \frac{3 x}{x + 9}

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

48 = \frac{48}{0.55 + d} + d

What is the answer to solvefor x,(3x+1)/x =2x+1 ?
The answer to solvefor x,(3x+1)/x =2x+1 is x=(1+sqrt(3))/2 ,x=(1-sqrt(3))/2