SOLUTION: The product of two consecutive positive integers is 22 more than eight times the larger integer. Find the integers

SOLUTION: The product of two consecutive positive integers is 22 more than eight times the larger integer. Find the integers

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Question 963712: The product of two consecutive positive integers is 22 more than eight times the larger integer. Find the integers
Answer by amarjeeth123(569) (Show Source): You can put this solution on YOUR website!
Let the integers be x and x-1.
x(x-1)=22+8x
x^2-9x-22=0
x^2-11x+2x-22=0
x(x-11)+2(x-11)=0
(x+2)(x-11)=0
x=11.
The integers are 10 and 11 respectively.
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