Question

Numerele rationale a,b,c sunt direct proportionale cu numerele 2,3 si 4.
Stiind ca 6a²+b²-2c²=9,determinati numerele a, b c

Answer 1

a/2=b/3=c/4=k
a=2k
b=3k
c=4k
6x4k²+9k²-2x16k²=9
24k²+9k²-32k²=9
k²=1
k=+-1
k=1⇒a=2, b=3, c=4
k=-1⇒a=-1, b=-3, c=-4