Question

Determinati numerele a,b,c stiind ca sunt invers proportionale cu 4,6,9 si abc=1.

Answer 1

{a,b,c} i.p. {4,6,9} => a/1/4=b/1/6=c/1/9=k <=> 4a=6b=9c=k => a=k/4, b=k/6 si c=k/9. Inlocuim in: abc=1 <=> k/4•k/6•k/9=1 <=> k³/216=1 <=> k³=216 ,stim ca 6³=216 => k=6.=> a=k/4=6/4=3/2 , b=k/6=6/6=1 si c=k/9=6/9=2/3