SOLUTION: The product of two consecutive integers is 19 more than their sum. Find the integers. Write an equation and solve.

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Question 1133839: The product of two consecutive integers is 19 more than their sum. Find the integers. Write an equation and solve.
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
(x)(x+1)=x^2+x
x^2+x-19=2x+1, where x is the smaller integer
x^2-x-20=0
(x-5)(x+4)=0
the integers are 5 and 6, where the product (30) is 19 more than the sum (11)
and
-4, -3, where the product (12) is 19 more than the sum (-7)