Question

(a,b,c) sunt dierct proportinale (1,2,3) a x b x c=48

Answer 1

Răspuns:

Explicație pas cu pas:

a=b/2=c/3 direct prop

2a=b (1)

3b=2c

6a=2c    c=3a (2)

a*b*c=48  inlocuim  cu ce stim din (1) si (2)

a*2a*3a=48

6*a^3=48

a^3=8

a=2

b=2*a=4

c=3*a=6

Answer 2

Răspuns:

$a/1 =b/2=c/3=k\\\\a=k\\\\ b=2k\\\\ c=3k\\\\a*b*c=48= > k*2k*3k=48= > 6k^{3} =48= > k^{3} =48:6= > k^{3} =8= > k^{3} =2^{3} = > k=2\\\\a=2\\\\b=2*2= > b=4\\\\c=2*3= > c=6$