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

The answer to x+1/(x-4)=0 is x=2+sqrt(3),x=2-sqrt(3)

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

The solution is x=2+sqrt(3),x=2-sqrt(3)

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x + \frac{1}{x - 4} = 0

x = 2 + 3, x = 2 - 3

Decimal Notation

x = 3.73205 \dots, x = 0.26794 \dots

Solution steps

x + \frac{1}{x - 4} = 0

Multiply both sides by

x - 4

x (x - 4) + 1 = 0

Solve

x (x - 4) + 1 = 0 : x = 2 + 3, x = 2 - 3

x = 2 + 3, x = 2 - 3

Verify Solutions

Find undefined (singularity) points:

x = 4

Combine undefined points with solutions:

x = 2 + 3, x = 2 - 3

y + \frac{4}{y} = 5

3 (x - 1) = \frac{4}{x + 1} - 5

\frac{6}{x + 2} = \frac{3}{4}

\frac{a}{a x - 1} + \frac{b}{b x - 1} = a + b

\frac{t - 9}{t} = \frac{80}{t + 9}

What is the answer to x+1/(x-4)=0 ?
The answer to x+1/(x-4)=0 is x=2+sqrt(3),x=2-sqrt(3)
Solve for x: x+1/(x-4)=0
The solution is x=2+sqrt(3),x=2-sqrt(3)