What is the answer to (x)= 1/(x-3)+1 ?

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

Solve for x: (x)= 1/(x-3)+1

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

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

x = 2 + 2, x = 2 - 2

Decimal Notation

x = 3.41421 \dots, x = 0.58578 \dots

Solution steps

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

Multiply both sides by

x - 3

x (x - 3) = x - 2

Solve

x (x - 3) = x - 2 : x = 2 + 2, x = 2 - 2

x = 2 + 2, x = 2 - 2

Verify Solutions

Find undefined (singularity) points:

x = 3

Combine undefined points with solutions:

x = 2 + 2, x = 2 - 2

\frac{2 x}{x} = 0

\frac{18}{x - 5} = \frac{27}{x - 4}

\frac{4}{x - 1} = \frac{x + 1}{12}

\frac{1}{3 ( t + 6 ) - 10} = - 3 t + 2

\frac{6}{y - 3} - \frac{4}{y - 3} = 2

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