Question

The product of two consecutive positive integers is 306. We need to find the integers.​

Answer 1

Explanation:

Let x and x+1 be the two consecutive positive integers . Therefore x (x+1) =306. Or x^2 +x -306 = 0. We get x =17,and -18.

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Answer 2

Let the first number be X

let the second number be x+1

x (x+1)=306

x^2+x=306

x^2+18x-17x-306=0

x (x+18)-17 (x+18)=0

x+18=0 x=-18

x-17=0 x=17

Since it is a positive integer x=17

therefore first number is 17 and second number is 18.