Question

Daca a , b² si c⁴ sunt direct proportionale cu 4, 9 si 25, iar abc=7500, aflati numerele a, b , c. Ma ajutati va rog?

Answer 1

{a,b²,c⁴}dp{4,9,25}⇒a/4=b²/9=c⁴/25⇒a/4=b/3=c²/5=k⇒a=4k,b=3k,c²=5k
abc=7500
a²b²c²=7500*7500
16k²*9k²*5k²=7500*7500
3600k⁶=7500*7500
k⁶=15625⇒k=5
a=20
b=15
c=5