What is the answer to 2+1/y-1/(y-1)=0 ?

The answer to 2+1/y-1/(y-1)=0 is y=(1+sqrt(3))/2 ,y=(1-sqrt(3))/2

Solve for y: 2+1/y-1/(y-1)=0

The solution is y=(1+sqrt(3))/2 ,y=(1-sqrt(3))/2

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2 + \frac{1}{y} - \frac{1}{y - 1} = 0

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

Decimal Notation

y = 1.36602 \dots, y = - 0.36602 \dots

Solution steps

2 + \frac{1}{y} - \frac{1}{y - 1} = 0

Multiply by LCM

2 y (y - 1) - 1 = 0

Solve

2 y (y - 1) - 1 = 0 : y = \frac{1 + 3}{2}, y = \frac{1 - 3}{2}

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

Verify Solutions

Find undefined (singularity) points:

y = 0, y = 1

Combine undefined points with solutions:

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

- \frac{4}{x} + 18 = 2

\frac{2}{2 - j} = 11449

\frac{9}{n + 7} = \frac{5}{n + 3}

\frac{614}{x - 815} = 8

- 2 = \frac{- 2}{( x + 1 ) ^{2}}

What is the answer to 2+1/y-1/(y-1)=0 ?
The answer to 2+1/y-1/(y-1)=0 is y=(1+sqrt(3))/2 ,y=(1-sqrt(3))/2
Solve for y: 2+1/y-1/(y-1)=0
The solution is y=(1+sqrt(3))/2 ,y=(1-sqrt(3))/2