Solving rational equations

Solving rational equations

Secondary 2
TGM Original Questions

Solve each of the following equations, excluding values that make a denominator zero.

  1. \(\frac6{p-1}+\frac2p=0\)
  2. \(\frac{p+2}{4}+\frac{3p-1}{2}=5\)
  3. \(\frac{x}{3}-\frac{x+2}{4}=-2\)
  4. \(\frac{12}{5r}+1=\frac3{2r}\)
  5. \(\frac{x-2}{3}-\frac4{x+2}=0\)
  6. \(\frac{4x}{x^2+3}=\frac1{2-x}\)

Solution:

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Answer:(a) \(p=\frac14\); (b) \(p=\frac{20}{7}\); (c) \(x=-18\); (d) \(r=-\frac9{10}\); (e) \(x=\pm4\); (f) \(x=1,\frac35\).

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