What is the answer to 5/x-2= 2/(x+3) ?

The answer to 5/x-2= 2/(x+3) is x=-(3+sqrt(129))/4 ,x=(sqrt(129)-3)/4

Solve for x: 5/x-2= 2/(x+3)

The solution is x=-(3+sqrt(129))/4 ,x=(sqrt(129)-3)/4

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

x = - \frac{3 + 129}{4}, x = \frac{129 - 3}{4}

Decimal Notation

x = - 3.58945 \dots, x = 2.08945 \dots

Solution steps

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

Multiply by LCM

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

Solve

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

x = - \frac{3 + 129}{4}, x = \frac{129 - 3}{4}

Verify Solutions

Find undefined (singularity) points:

x = 0, x = - 3

Combine undefined points with solutions:

x = - \frac{3 + 129}{4}, x = \frac{129 - 3}{4}

\frac{13}{x} = 10 - x

- \frac{1}{x - 1} + 7 = - \frac{1}{x ^{2} - x}

\frac{10 x ^{2} - 5 x + 8}{5 x ^{2} + 9 x - 19} = 2

x, z = \frac{y}{x}

\frac{4}{2 x - 1} = 10

What is the answer to 5/x-2= 2/(x+3) ?
The answer to 5/x-2= 2/(x+3) is x=-(3+sqrt(129))/4 ,x=(sqrt(129)-3)/4
Solve for x: 5/x-2= 2/(x+3)
The solution is x=-(3+sqrt(129))/4 ,x=(sqrt(129)-3)/4