Rational Equations Requiring Quadratic Solutions

Rational Equations Requiring Quadratic Solutions

Secondary 3

Solve the following equations, giving your answers correct to 3 significant figures where necessary.

  1. \(\frac{1}{{{x}^{2}}-4}+\frac{1}{2-x}=3\)
  2. \(\frac{7x-2}{{{x}^{2}}-3x+2}-\frac{1}{x-1}=\frac{2}{3}\)

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Answer:(i) x = 1.76 or -2.09; (ii) x = 11.8 or 0.169.

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