Exercice 00-07
Résoudre dans R\mathbb{R}:
  1. 2xx+1=2x1x\frac{2x}{x+1}=\frac{2x-1}{x}
  2. x2x12=0x^2-x-12=0
  3. 2x2+4x+1=02x^2+4x+1=0
  4. x43x2+2=0x^4-3x^2+2=0
  5. 3x4=103\,|x-4|=10
  6. 2x4x=34x\frac{2x}{\sqrt{4-x}}=3\sqrt{4-x}
  7. (x+1)(x+6)=1(x+1)(x+6)=1
  8. x13=1\bigl||x-1|-3\bigr|=1
  1. S={1}S=\{1\}
  2. S={3,4}S=\{-3,4\}
  3. S={1±22}S=\{-1\pm \frac{\sqrt{2}}{2}\}
  4. S={±1,±2}S=\{\pm 1,\pm\sqrt{2}\}
  5. S={223,23}S=\{\frac{22}{3},\frac{2}{3}\}
  6. S={125}S=\{\frac{12}{5}\}
  7. S={7±292}S=\{\frac{-7\pm \sqrt{29}}{2}\}
  8. S={3,1,3,5}S=\{-3,-1,3,5\}