What is the answer to 2-3/(x+2)= 4/(x-2) ?

The answer to 2-3/(x+2)= 4/(x-2) is x=(7+sqrt(129))/4 ,x=(7-sqrt(129))/4

Solve for x: 2-3/(x+2)= 4/(x-2)

The solution is x=(7+sqrt(129))/4 ,x=(7-sqrt(129))/4

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

x = \frac{7 + 129}{4}, x = \frac{7 - 129}{4}

Decimal Notation

x = 4.58945 \dots, x = - 1.08945 \dots

Solution steps

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

Multiply by LCM

2 (x + 2) (x - 2) - 3 (x - 2) = 4 (x + 2)

Solve

2 (x + 2) (x - 2) - 3 (x - 2) = 4 (x + 2) : x = \frac{7 + 129}{4}, x = \frac{7 - 129}{4}

x = \frac{7 + 129}{4}, x = \frac{7 - 129}{4}

Verify Solutions

Find undefined (singularity) points:

x = - 2, x = 2

Combine undefined points with solutions:

x = \frac{7 + 129}{4}, x = \frac{7 - 129}{4}

\frac{12}{x} + \frac{30}{x} = 1

\frac{x ^{2} - 1}{x ^{2} - 4} = 0

\frac{x + 2}{4} = \frac{2}{x}

\frac{2}{x} = \frac{5}{10}

x, \frac{2 ( y + 3 )}{x} = 2 w

What is the answer to 2-3/(x+2)= 4/(x-2) ?
The answer to 2-3/(x+2)= 4/(x-2) is x=(7+sqrt(129))/4 ,x=(7-sqrt(129))/4
Solve for x: 2-3/(x+2)= 4/(x-2)
The solution is x=(7+sqrt(129))/4 ,x=(7-sqrt(129))/4