What is the answer to 1/(4-y)+1/y-8=0 ?

The answer to 1/(4-y)+1/y-8=0 is y=(4+sqrt(14))/2 ,y=(4-sqrt(14))/2

Solve for y: 1/(4-y)+1/y-8=0

The solution is y=(4+sqrt(14))/2 ,y=(4-sqrt(14))/2

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\frac{1}{4 - y} + \frac{1}{y} - 8 = 0

y = \frac{4 + 14}{2}, y = \frac{4 - 14}{2}

Decimal Notation

y = 3.87082 \dots, y = 0.12917 \dots

Solution steps

\frac{1}{4 - y} + \frac{1}{y} - 8 = 0

Multiply by LCM

4 - 8 y (- y + 4) = 0

Solve

4 - 8 y (- y + 4) = 0 : y = \frac{4 + 14}{2}, y = \frac{4 - 14}{2}

y = \frac{4 + 14}{2}, y = \frac{4 - 14}{2}

Verify Solutions

Find undefined (singularity) points:

y = 4, y = 0

Combine undefined points with solutions:

y = \frac{4 + 14}{2}, y = \frac{4 - 14}{2}

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

\frac{2 x ^{2}}{5 x - 6} = 2

y, C = \frac{r}{y}

1 = (- 4) (\frac{p}{340 - 4 p}), p

\frac{x - 3}{x} = \frac{8}{x + 3}

What is the answer to 1/(4-y)+1/y-8=0 ?
The answer to 1/(4-y)+1/y-8=0 is y=(4+sqrt(14))/2 ,y=(4-sqrt(14))/2
Solve for y: 1/(4-y)+1/y-8=0
The solution is y=(4+sqrt(14))/2 ,y=(4-sqrt(14))/2