Question

Determinati numerele a , b , c Apartine Q invers proportionale cu numerele 4, 16, 27 ,stiind ca a ori b ori c=1

Answer 1

a=k/4
b=k/16
c=k/27

k/4*k/16*k/27=1

k^3/1728=1
k^3=1728
k=rad ordin 3 din 2^3*2^3*3^3
k=2*2*3
k=12

a=12/4=3
b=12/16 simplificam prin 4=3/4
c=12/27 simplificam cu 3=4/9

Answer 2

4a = 16b = 27c    b = a/4    c = 4a/27
a·a/4 ·4a/27 = 1    a³/27 =1  a³ = 27      a= 3    b = 3/4      c = 4/9
3·3/4·4/9 = 1