What is the answer to 1/(x+8)+(16)/(x^2-64)=1 ?

The answer to 1/(x+8)+(16)/(x^2-64)=1 is x=9

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1/(x+8)+(16)/(x^2-64)=1

\frac{1}{x + 8} + \frac{16}{x ^{2} - 64} = 1

x = 9

Solution steps

\frac{1}{x + 8} + \frac{16}{x ^{2} - 64} = 1

Multiply by LCM

x + 8 = (x + 8) (x - 8)

Solve

x + 8 = (x + 8) (x - 8) : x = 9, x = - 8

x = 9, x = - 8

Verify Solutions

Find undefined (singularity) points:

x = - 8, x = 8

Since the equation is undefined for:

- 8

x = 9

\frac{3}{x} = \frac{x + 1}{2}

- \frac{5}{2 x} - 1 = \frac{1}{6 x}

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

4 x - \frac{256}{x ^{2}} = 0

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

What is the answer to 1/(x+8)+(16)/(x^2-64)=1 ?
The answer to 1/(x+8)+(16)/(x^2-64)=1 is x=9
Solve for x: 1/(x+8)+(16)/(x^2-64)=1
The solution is x=9