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

The answer to (x)= 1/((x-3)) is x=(3+sqrt(13))/2 ,x=(3-sqrt(13))/2

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

The solution is x=(3+sqrt(13))/2 ,x=(3-sqrt(13))/2

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

x = \frac{3 + 13}{2}, x = \frac{3 - 13}{2}

Decimal Notation

x = 3.30277 \dots, x = - 0.30277 \dots

Solution steps

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

Simplify

\frac{1}{( x - 3 )} : \frac{1}{x - 3}

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

Multiply both sides by

x - 3

x (x - 3) = 1

Solve

x (x - 3) = 1 : x = \frac{3 + 13}{2}, x = \frac{3 - 13}{2}

x = \frac{3 + 13}{2}, x = \frac{3 - 13}{2}

Verify Solutions

Find undefined (singularity) points:

x = 3

Combine undefined points with solutions:

x = \frac{3 + 13}{2}, x = \frac{3 - 13}{2}

\frac{2}{x} - \frac{5}{x + 2} = 1

\frac{x + 1}{3} = \frac{x + 5}{x}

\frac{2.4}{0.6} = \frac{170}{x}

\frac{3}{c} = - \frac{9}{64}

\frac{4}{x} = \frac{3}{x - 2}

What is the answer to (x)= 1/((x-3)) ?
The answer to (x)= 1/((x-3)) is x=(3+sqrt(13))/2 ,x=(3-sqrt(13))/2
Solve for x: (x)= 1/((x-3))
The solution is x=(3+sqrt(13))/2 ,x=(3-sqrt(13))/2