What is the answer to 2x-6= 1/(x-2)+4 ?

The answer to 2x-6= 1/(x-2)+4 is x=(7+sqrt(11))/2 ,x=(7-sqrt(11))/2

Solve for x: 2x-6= 1/(x-2)+4

The solution is x=(7+sqrt(11))/2 ,x=(7-sqrt(11))/2

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2 x - 6 = \frac{1}{x - 2} + 4

x = \frac{7 + 11}{2}, x = \frac{7 - 11}{2}

Decimal Notation

x = 5.15831 \dots, x = 1.84168 \dots

Solution steps

2 x - 6 = \frac{1}{x - 2} + 4

Move

6

to the right side

2 x = \frac{1}{x - 2} + 10

Multiply both sides by

x - 2

2 x (x - 2) = 1 + 10 (x - 2)

Solve

2 x (x - 2) = 1 + 10 (x - 2) : x = \frac{7 + 11}{2}, x = \frac{7 - 11}{2}

x = \frac{7 + 11}{2}, x = \frac{7 - 11}{2}

Verify Solutions

Find undefined (singularity) points:

x = 2

Combine undefined points with solutions:

x = \frac{7 + 11}{2}, x = \frac{7 - 11}{2}

r, θ = \frac{18 - 2 r}{r}

\frac{x ^{2} - 7 x - 18}{x + 2} = x - 9

\frac{5}{x} + 1 = 0

x, v = \frac{w}{x}

\frac{4 - x}{2 + x} = \frac{5}{7}

What is the answer to 2x-6= 1/(x-2)+4 ?
The answer to 2x-6= 1/(x-2)+4 is x=(7+sqrt(11))/2 ,x=(7-sqrt(11))/2
Solve for x: 2x-6= 1/(x-2)+4
The solution is x=(7+sqrt(11))/2 ,x=(7-sqrt(11))/2