Rovnice s neznámou ve jmenovateli – Příklady

Nezapomeň na podmínky!

  1. \(\dfrac{24}{x}=8\\[4ex]\)
  2. \(\dfrac{36}{x+2}=4\\[4ex]\)
  3. \(\dfrac{4}{x}=20\\[4ex]\)
  4. \(\dfrac{x+2}{x-2}=2\\[4ex]\)
  5. \(\dfrac{4}{x+5}=\dfrac{1}{5}\\[4ex]\)
  6. \(\dfrac{2x}{3x-5}=-1\\[4ex]\)
  7. \(\dfrac{2x-3}{x}=\dfrac{2x-3}{x}\\[4ex]\)
  8. \(\dfrac{3a+7}{2a}-\dfrac{3}{4}=1\\[4ex]\)
  9. \(\dfrac{a+4}{a}+5=-3\\[4ex]\)
  10. \(\dfrac{4a-3}{3a}-\dfrac{5}{6}=1\\[4ex]\)
  11. \(\dfrac{x-6}{3x}-\dfrac{x+1}{2x}=1\\[4ex]\)
  12. \(\dfrac{3}{x}+\dfrac{1}{x}+\dfrac{2}{x}=1\\[4ex]\)
  13. \(\dfrac{1}{y}+\dfrac{3}{4y}+2\dfrac{4}{9}=4\\[4ex]\)
  14. \(\dfrac{1}{x+6}=\dfrac{3}{5x-2}\\[4ex]\)
  15. \(\dfrac{1}{x+1}-\dfrac{2}{x+4}=0\\[4ex]\)
  16. \(\dfrac{1}{x-1}=\dfrac{2}{x+1}\\[4ex]\)
  17. \(\dfrac{x+7}{x-5}+\dfrac{x+5}{x-7}=2\\[4ex]\)
  18. \(\dfrac{x+11}{x-7}+\dfrac{x+7}{x-11}=2\\[4ex]\)
  19. \(\dfrac{17}{a+1}-\dfrac{5}{a^{2}+a}=\dfrac{6}{a}\\[4ex]\)
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