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a+b+c+101=245
a+b+c=144
2a=b+1⇒b=2a-1
c²=100b
a+2a-1+c=144
3a+c=145⇒c=145-3a
c²=100(2a-1)
(145-3a)²=200a-100
9a²-870a+21025-200a+100=0
9a²-1070a+21125=0
Δ=1144900-760500=384400
√Δ=620
a=1/18(1070-620)=1/18*450=25 v a=1/18(1070+620)=845/9∉D
a=25
b=25+24=49
c=√4900=70
Odp. a=25, b=49, c=70.