Question

determinati numerele a ,b ,c stiind ca sunt direct proportionale cu 2 ,3 , 5 si ca a x b la a doua x c la a 3 = 2250

Answer 1

a,b,c    dp cu 2,3,5

a/2=b/3=c/5=k
a=2k
b=3k
c=5k

a * b ²* c³= 2250

2k*(3k)² * (5k)³=2250

2k * 9k² * 125k³=2250

2250k⁶= 2250  => k=1

a=2*1=2
b=3*1=3
c=5*1=5

Answer 2

a= 2x, b=3x, c= 5x 
Notam la puterea cu semnul ^ ; a^b inseamna a la puterea b
* inseamna inmultit 

a * b^2 * c^3 = 2250
2x * (3x)^2 * (5x)^3 = 2250
2x* 9x^2 * 125 x^3 = 2250 
2250 x^6 = 2250 
x^6 = 1 => x=1
a= 2, b = 3, c= 5