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a*b*c=5832
b/a=c/b
c=b^2/a
a*b*c=5832 <=> a*b*b^2/a=5832 <=> b^3=5832 <=> b=18
c=57-a-b
57-a-b=b^2/a <=> 57-a-18=324/a <=> 57a-a^2-18a=324 <=> -a^2+39a-324=0
delta=225
pierwiastek z delta=15
a1=(-39-15)/(-2)=27
a2=(-39+15)/(-2)=12
a+b+c=57 <=> 27+18+c=57 lub 12+18+c=57 <=> c=12 lub c=27