Exercice 00-07
R├ęsoudre dans \(\mathbb{R}\):
  1. \(\frac{2x}{x+1}=\frac{2x-1}{x}\)
  2. \(x^2-x-12=0\)
  3. \(2x^2+4x+1=0\)
  4. \(x^4-3x^2+2=0\)
  5. \(3\,|x-4|=10\)
  6. \(\frac{2x}{\sqrt{4-x}}=3\sqrt{4-x}\)
  7. \((x+1)(x+6)=1\)
  8. \(\bigl||x-1|-3\bigr|=1\)
  1. \(S=\{1\}\)
  2. \(S=\{-3,4\}\)
  3. \(S=\{-1\pm \frac{\sqrt{2}}{2}\}\)
  4. \(S=\{\pm 1,\pm\sqrt{2}\}\)
  5. \(S=\{\frac{22}{3},\frac{2}{3}\}\)
  6. \(S=\{\frac{12}{5}\}\)
  7. \(S=\{\frac{-7\pm \sqrt{29}}{2}\}\)
  8. \(S=\{-3,-1,3,5\}\)