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Determinati produsul numerelor a,b,c stiind a*b=144,b*c=225 si a(b+c)=34

Răspuns :

Renatemambouko
a×b=144 = ⇒b=144/a
b×c=225 = b=225/c
144/a=225/c
225a=144c
5²×3²× a=2⁴×3² × c
a=2⁴=16
c=5²=25
b=144/16=9
a×b×c=16×9×25=3600

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