# Solve the following equations: 3/x-5/(x-1)=4

Wisniewool 2022-06-30 Answered
Solve the following equations:
$\frac{3}{x}-\frac{5}{x-1}=4$
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## Answers (2)

Sanaa Hinton
Answered 2022-07-01 Author has 15 answers
$\frac{3}{x}-\frac{5}{x-1}=4$
$LCM:x\left(x-1\right)$
$\left[x\left(x-1\right)\right]\left(\frac{3}{x}-\frac{5}{x-1}\right)=\left[x\left(x-1\right)\right]14\right)$
$3\left(x-1\right)-5x=\left({x}^{2}-x\right)\ast 4$
$3x-3-5x=4{x}^{2}-4x$
$-2x\ast 3=4{x}^{2}-4x$
$0=4{x}^{2}-2x+3$
$a=4;b=-2;c=3$
$x=\frac{-\left(-2\right)±\sqrt{\left(-2{\right)}^{2}-4\left(4\right)\left(3\right)}}{2\left(4\right)}=\sqrt{4-48}\to$ negative number
Answer:
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Jeffrey Jordon
Answered 2022-07-07 Author has 2495 answers

Answer is given below (on video)

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