The product of two consecutive positive integers is 306. We need to find the integers.
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Let the two consecutive positive integers be x and (x +1) .
According to the given condition,
Hence, the required integers are 17 and 18.
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x(x+1)=306
x²+x-306=0
x²+18x-17x-306=0
x(x+18)-17(x+18)=0
x=-18
x=17
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