Treść zadania

Najlepsze rozwiązanie

• 

  3 0

  sonar 5.11.2012 (20:07)

  a)
  
  4x - 1
  --------- = 5 /*3
  ...3
  
  
  
  4x - 1= 5 * 3
  
  4x = 15 + 1
  
  4x= 16
  
  x= 16 : 4
  
  x= 4
  
  
  spr.
  
  4x - 1
  --------- = 5
  ...3
  
  
  4*4 - 1
  ---------=5
  """"3
  
  
  15
  ----- = 5
  ""3
  
  5=5
  
  L =P
  
  
  
  b)
  
  2 - 3x
  --------- = 4 /*4
  .... 4
  
  
  2-3x = 4* 4
  
  -3x = 16 -2
  
  -3x= 14
  
  x= 14 : (-3)
  
  x= - 14/3= - 4 i 2/3
  
  
  spr.
  
  2 - 3x
  --------- = 4
  .... 4
  
  
  2- 3(-14/3)
  ------------------ = 4 (skróci się w mianowniku 3 z 3)
  """"""""4
  
  
  2- (-14)
  ------------- = 4
  """"4
  
  
  2+14
  -------- = 4
  """"4
  
  16
  -------= 4
  "'4
  
  4=4
  
  L=P
  
  
  
  
  c)
  
  6x + 1
  ---------- = x /*5
  .....5
  
  
  6x + 1 = 5x
  
  6x - 5x= - 1
  
  x= -1
  
  
  spr.
  
  6x + 1
  ---------- = x /*5
  .....5
  
  
  6*(-1) + 1
  ------------------= -1
  """" 5
  
  
  -6 + 1
  ----------= -1
  """"5
  
  
  -5
  ----= -1
  5
  
  -1=-1
  
  L=P
  
  
  
  
  d) Czy dobrze poprawiłam zapis tego równania ?
  
  3 - x
  ---------- = 2x - 3 /*2
  ......2
  
  
  3-x = 2(2x-3)
  
  3-x = 4x - 6
  
  -x - 4x = -6 -3
  
  -5x= - 9
  
  x= -9 : (-5)
  
  x= 9/5= 1 i 4/5
  
  
  spr.
  
  3 - x
  ---------- = 2x - 3
  ......2
  
  
  3 - 1 i 4/5
  -------------- = 2 * 9/5 - 3
  """""""2
  
  
  1 i 1/5
  -----------= 18/5 - 3
  """"2
  
  
  6/5 : 2= 3 i 3/5 - 3
  
  6/5 * 1/2 = 3/5
  
  3/5 * 1/1 = 3/5
  
  3/5 = 3/5
  
  L=P
  
  
  
  
  e)
  
  2x - 1 """""1 - x
  ---------- = -------- /*4
  .....2......""""....4
  
  
  2(2x - 1) = 1 - x
  
  4x - 2= 1 - x
  
  4x + x= 1 + 2
  
  5x = 3
  
  x= 3 : 5
  
  x= 3/5= 0,6
  
  
  spr.
  
  2x - 1 """""1 - x
  ---------- = -------- /*4
  .....2......""""....4
  
  
  2*3/5 -1 """"""""""""""1 - 3/5
  ---------------- = -----------------
  """"2""""""""""""""""""""" 4
  
  
  6/5 -1 """"""""""""""""2/5
  ------------- = ---------------
  """"2''"""""""""""""""4
  
  1/5 : 2 = 2/5 : 4
  
  1/5 * 1/2 = 2/5 * 1/4
  
  1/10 = 1/5 * 1/2
  
  1/10 = 1/10
  
  L=P
  
  
  
  f)
  
  x - 3"""" x - 2
  ------- = -------- /*6
  ... 2........3
  
  
  3(x-3) = 2(x-2)
  
  3x - 9 = 2x - 4
  
  3x - 2x= -4 + 9
  
  x= 5
  
  
  
  spr.
  
  x - 3"""" x - 2
  ------- = --------
  ... 2........3
  
  
  5 - 3 """""" 5-2
  -------- = ---------
  """2""""""""3
  
  
  2""""""""""3
  ---- = --------
  2""""""""3
  
  1=1
  
  L=P

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