What is the answer to x+8= 1/(x-4) ?

The answer to x+8= 1/(x-4) is x=-2+sqrt(37),x=-2-sqrt(37)

Solve for x: x+8= 1/(x-4)

The solution is x=-2+sqrt(37),x=-2-sqrt(37)

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x + 8 = \frac{1}{x - 4}

x = - 2 + 37, x = - 2 - 37

Decimal Notation

x = 4.08276 \dots, x = - 8.08276 \dots

Solution steps

x + 8 = \frac{1}{x - 4}

Multiply both sides by

x - 4

x (x - 4) + 8 (x - 4) = 1

Solve

x (x - 4) + 8 (x - 4) = 1 : x = - 2 + 37, x = - 2 - 37

x = - 2 + 37, x = - 2 - 37

Verify Solutions

Find undefined (singularity) points:

x = 4

Combine undefined points with solutions:

x = - 2 + 37, x = - 2 - 37

\frac{1}{t + 7} - \frac{5}{t - 5} = 1

9 + \frac{3}{x + 3} = - \frac{x}{x + 3}

\frac{b ^{2} + 3 ^{1} ( - 3 )}{b} = 3

r, m = \frac{n - p}{r - 5}

\frac{10}{x - 5} = \frac{8}{x - 1}

What is the answer to x+8= 1/(x-4) ?
The answer to x+8= 1/(x-4) is x=-2+sqrt(37),x=-2-sqrt(37)
Solve for x: x+8= 1/(x-4)
The solution is x=-2+sqrt(37),x=-2-sqrt(37)