Question

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Rezolvați ecuațiile:
d) 2,5∙(16,5∙x – 18,72) = 52,2
​ e) 1,5∙{5 + 2,5∙[7 + 5,5∙(3250 : 100 – x)]} = 75
​ f) [(2,42 : x + 2,52) ∙ 0,22 + 1,82] : 0,22 = 84

Answer 1

Rezolvați ecuațiile:

d) 2,5∙(16,5∙x – 18,72) = 52,2

25/10(¹⁰165/10x-1872/100)=522/10 /×10

25(1650x-1872)/100=522

1650x-1872=522×4

1650x=1872+2088

1650x=3960

x=12/5

e) 1,5∙{5 + 2,5∙[7 + 5,5∙(3250 : 100 – x)]} = 75

15/10{5+25/10[7+55/10(325/10-x)]}=75

5+5/2[7+11/2(65/2-x)]=75×2/3

5/2[7+11/2(65/2-x)]=50-5

7+11/2(65/2-x)=45×2/5

11/2(65/2-x)=18-7

65/2-x=11×2/11

65/2-²x=²2

2x=65-4

2x=61

x=61/2

f)[(2,42 : x + 2,52) ∙ 0,22 + 1,82] : 0,22 = 84

(2,42 : x + 2,52) ∙ 0,22 + 1,82 = 84×0,22

(2,42 : x + 2,52) ∙ 0,22 =18,48-1,82

2,42 : x + 2,52=16,66:0,22

2,42 : x =75,72-2,52

2,42=73,20×x

x=2,42:73,20=0,03

Answer 2

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