Treść zadania

Najlepsze rozwiązanie

• 

  1 0

  sonar 14.4.2013 (22:43)

  a)
  2x + 3/5 = 2 - x/3 - x
  
  2x + x/3 +x = 2 - 3/5
  
  3x + x/3 = 1 i 2/5 /*3
  
  9x + x= 3 * 1 i 2/5
  
  10x= 3 * 7/5
  
  10x= 21/5
  
  x= 21/5 : 10
  
  x= 21/5 * 1/10
  
  x= 21/50
  
  
  spr.
  
  2x + 3/5 = 2 - x/3 - x
  
  2 * 21/50 + 3/5 = 2 - 21/50 : 3 - 21/50
  
  42/50 + 30/50 = 2 - 21/50 * 1/3 - 21/50
  
  72/50 = 2 - 7/50 * 1/1 - 21/50
  
  1 i 22/50 = 2 - 7/50 - 21/50
  
  1 i 22/50 = 2 - 28/50
  
  1 i 22/50 = 1 i 22/50
  
  L=P
  
  
  
  
  
  b)
  x + 1/2 - x - 1/3 = 1/4
  
  x - x+ 1/2 - 1/3 = 1/4
  
  1/2 - 1/3 =/= 1/4
  
  równanie sprzeczne
  
  
  
  
  c)
  4x + 7/2 - 5x - 1/6 = x + 5
  
  4x - 5x - x= 5 - 7/2 + 1/6
  
  -2x = 5 - 3 i 1/2 + 1/6
  
  - 2x =1 i 1/2 + 1/6
  
  -2x=1 i 3/6 + 1/6
  
  -2x = 1 i 4/6
  
  x = 1 i 4/6 : (-2)
  
  x= 10/6 : (-2)
  
  x= 10/6 * (-1/2)
  
  x= 5/6 * (-1/1)
  
  x= - 5/6
  
  
  
  spr.
  
  4x + 7/2 - 5x - 1/6 = x + 5
  
  4 * (- 5/6 ) + 7/2 - 5*(- 5/6) - 1/6= - 5/6 + 5
  
  2 * (-5/3) + 3 i 1/2 - (25/6) - 1/6= 4 i 1/6
  
  -10/3 + 3 i 1/2 + 25/6 - 1/6 = 4 i 1/6
  
  - 3 i 1/3 + 3 i 1/2 + 4 i 1/6 - 1/6 =4 i 1/6
  
  - 3 i 2/6 + 3 i 3/6 + 4 = 4 i 1/6
  
  1/6 + 4= 4 i 1/6
  
  4 i 1/6 = 4 i 1/6
  
  L=P
  
  
  
  
  
  d)
  x + 5/4 - 2x + 1/8 = 1/2 (2 - x)
  
  x + 1 i 1/4 - 2x + 1/8= 1/2 * 2 - 1/2x
  
  x + 1 i 1/4 - 2x + 1/8 = 1 - 1/2x
  
  x - 2x + 1/2x = 1 - 1 i 1/4 - 1/8
  
  - 1/2x = 1 - 1 i 2/8 - 1/8
  
  - 1/2x= - 2/8 - 1/8
  
  - 1/2x= - 3/8
  
  x= - 3/8 : (-1/2)
  
  x= - 3/8 * (-2/1)
  
  x= - 3/4 * (-1/1)
  
  x= 3/4
  
  
  
  spr.
  x + 5/4 - 2x + 1/8 = 1/2 (2 - x)
  
  3/4 + 5/4 - 2 * 3/4 + 1/8 = 1/2(2 - 3/4)
  
  8/4 - 1*3/2 + 1/8 = 1/2 * 1 i 1/4
  
  2 - 3/2 + 1/8 = 1/2 * 5/4
  
  1/2 + 1/8= 5/8
  
  4/8 + 1/8 = 5/8
  
  5/8 = 5/8
  
  L=P

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