kxavey kxavey
  • 22-05-2020
  • Mathematics
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the product of 2 consecutive integers is 306

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pearlt26
pearlt26 pearlt26
  • 22-05-2020

Answer:

Two consecutive positive integers are 17 and 18. Or -17 and -18.

Step-by-step explanation:

Let the consecutive integers be x and x+1

x (x+1)=306 --> x^2 + x-306=0

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

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

or

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

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