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

The answer to 1/(x-3)-x/(x+3)=1 is x=1-sqrt(7),x=1+sqrt(7)

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

The solution is x=1-sqrt(7),x=1+sqrt(7)

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

x = 1 - 7, x = 1 + 7

Decimal Notation

x = - 1.64575 \dots, x = 3.64575 \dots

Solution steps

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

Multiply by LCM

x + 3 - x (x - 3) = (x - 3) (x + 3)

Solve

x + 3 - x (x - 3) = (x - 3) (x + 3) : x = 1 - 7, x = 1 + 7

x = 1 - 7, x = 1 + 7

Verify Solutions

Find undefined (singularity) points:

x = 3, x = - 3

Combine undefined points with solutions:

x = 1 - 7, x = 1 + 7

\frac{60 + 120 + 50 x}{10 + x} = 34

\frac{x}{2 x - 4} - 4 = \frac{1}{x - 2}

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

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

\frac{1}{x ^{2}} + \frac{8}{x} + 15 = 0

What is the answer to 1/(x-3)-x/(x+3)=1 ?
The answer to 1/(x-3)-x/(x+3)=1 is x=1-sqrt(7),x=1+sqrt(7)
Solve for x: 1/(x-3)-x/(x+3)=1
The solution is x=1-sqrt(7),x=1+sqrt(7)