What is the answer to x+16= 1/(x-8) ?

The answer to x+16= 1/(x-8) is x=-4+sqrt(145),x=-4-sqrt(145)

Solve for x: x+16= 1/(x-8)

The solution is x=-4+sqrt(145),x=-4-sqrt(145)

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x + 16 = \frac{1}{x - 8}

x = - 4 + 145, x = - 4 - 145

Decimal Notation

x = 8.04159 \dots, x = - 16.04159 \dots

Solution steps

x + 16 = \frac{1}{x - 8}

Multiply both sides by

x - 8

x (x - 8) + 16 (x - 8) = 1

Solve

x (x - 8) + 16 (x - 8) = 1 : x = - 4 + 145, x = - 4 - 145

x = - 4 + 145, x = - 4 - 145

Verify Solutions

Find undefined (singularity) points:

x = 8

Combine undefined points with solutions:

x = - 4 + 145, x = - 4 - 145

0.73 = \frac{100000 - x}{x}

\frac{4}{x + 3} = 3 - \frac{8}{x + 3}

\frac{4}{7} = \frac{12}{x}

\frac{3 x + 4}{x - 2} = \frac{5}{6}

\frac{x ^{3} - x}{x ^{2} - x} = 17

What is the answer to x+16= 1/(x-8) ?
The answer to x+16= 1/(x-8) is x=-4+sqrt(145),x=-4-sqrt(145)
Solve for x: x+16= 1/(x-8)
The solution is x=-4+sqrt(145),x=-4-sqrt(145)