the sum of a number and its reciprocal is 61/30 . Then find the number
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Let a be the number, then by the question a+(1/a)=61/30
30*(a^2)-61a+30=0
30(a^2)-36a-25a+30=0
(6a-5)(5a-6)=0
a=5/6,6/5
30*(a^2)-61a+30=0
30(a^2)-36a-25a+30=0
(6a-5)(5a-6)=0
a=5/6,6/5
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