IP2U4 Exercise Q7

IP2U4 Exercise Q7

Solve the following equations, giving your answers to \(3\) significant figures where necessary.

  1. \({{\left( 3-x \right)}^{2}}=8\)
  2. \(25{{x}^{2}}-5=31\)
  3. \(4x-11=\frac{3}{x}\)
  4. \(\frac{6}{x}+\frac{8}{x+2}=5\)

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Answer:(i) \(x=0.172\) or \(x=5.83\) (ii) \(x=\frac{6}{5}\) or \(x=-\frac{6}{5}\) (iii) \(x=-\frac{1}{4}\) or \(x=3\) (iv) \(x=-\frac{6}{5}\) or \(x=2\)

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