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11 votes
The product of two consecutive positive integer is 306. We need to find the Integers.

Hope you guys are help me.​

User Zulu
by
6.3k points

2 Answers

5 votes

Answer:

Let the given set of integers be n and (n+1)

n(n+1)=306

n to the power square +n−306=0

(n+17)(n−16)=0

Therefore, n=16 and integers are 16 and 17.

User King Jia
by
6.3k points
4 votes

Answer:

17, 18

Step-by-step explanation:

Let the integers be y, y + 1

=======================

  • y * (y + 1) = 306 (products of them)
  • y² + y = 306 (multiply)
  • y² + y - 306 = 0
  • y² + 18y - 17y -306 = 0 (factorize)
  • y(y+18) -17(y+18) = 0 (take out common variables)
  • (y-17)(y+18) = 0 (collect into groups)
  • y = 17, -18
  • y = 17 (as required positive integer)

Next integer:

  • y + 1
  • 17 + 1
  • 18
User Hexie
by
7.1k points
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