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

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

Solve for x: (x+1)/x = x/2

The solution is x=1+sqrt(3),x=1-sqrt(3)

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

x = 1 + 3, x = 1 - 3

Decimal Notation

x = 2.73205 \dots, x = - 0.73205 \dots

Solution steps

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

Cross multiply

(x + 1) \cdot 2 = x^{2}

Solve

(x + 1) \cdot 2 = x^{2} : x = 1 + 3, x = 1 - 3

x = 1 + 3, x = 1 - 3

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 1 + 3, x = 1 - 3

\frac{5}{x} = - 10

\frac{x + 2}{x + 5} = \frac{8}{x}

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

2000 = \frac{1000 ( 1 + 3 t )}{5 + t}

\frac{7}{3} = \frac{4}{y}

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