Math, asked by CandyCakes, 6 months ago

Solve
 \frac{4}{x - 3}  +  \frac{2}{x - 2}  =  \frac{6}{x}

Answers

Answered by ag200543
1

Step-by-step explanation:

hope it helps you.......

Attachments:
Answered by mathdude500
4

Answer:

 \frac{4}{x - 3}  +  \frac{2}{ x - 2}  =  \frac{6}{x}  \\  \frac{4(x - 2) + 2(x - 3)}{(x - 3)(x - 2)}  =  \frac{6}{x}  \\  \frac{4x - 8 + 2x - 6}{ {x}^{2}  - 2x - 3x + 6}  =  \frac{6}{x}  \\  \frac{6x - 14}{ {x}^{2}  - 5x + 6}  =  \frac{6}{x}  \\ 6 {x}^{2}  - 14x =  {6x}^{2}  - 30x + 36 \\  - 14x =  - 30x + 36 \\ 16x = 36 \\ x =  \frac{36}{16}  \\ x =  \frac{9}{2}

\color{green}{•••hope \: it \: helps \: you•••}

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