Question

Daca a,b,c sunt numere astfel incat : a•b = 0,06; b•c = 0,12 si c•a = 0,08 , calculati suma a+b+c

Answer 1

axb=0.06
bxc=0.12
-impartim relatiile si obtinem ab/bc= a/c = 0.06/0.12 = 0.5 ⇒ a = 0.5c
c x 0.5c = 0.08 ⇒0.5c²=0.08 ⇒c² = 0.08/0.5 = 0.16 ⇒ c=0.4
a=0.5c = 0.5 x 0.4 = 0.2 ⇒ a=0.2
a x b = 0.06
0.2 x b = 0.06
b=0.06 : 0.2 = 0.3⇒b=0.3

a+b+c=0.2+0.3+0.4 = 0.9