Question

determinati numerele ab c invers proportionale cu numerele 4 16 27 stiind ca a*b*c=1

Answer 1

a/(1/4)=k  4a=k  a=k/4
b/(1/16)=k  16b=k  b=k/16
c/(1/27)=k  27c=k  c=k/27
a*b*c=1
k/4 * k/16*k/27=1
k³/1728=1
k³=1728=4³ x 3³
k=4*3=12
a=12/4=3
b=12/16=3/4
c=12/27=4/9