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# The product of two consecutive integers is 19 more than their sum. Find the integers.?

Please help!!

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- 1 decade agoFavorite Answer
Let x = 1st integer

Then x+1 = next integer

Now translate the words into an equation:

Since "product" means to multiply...

and "sum" means to add...

(x)(x+1)=(x)+(x+1)+19

x^2 + x=2x+20

x^2 - x -20=0

factor: (x-5)(x+4)=0

So x = 5 or x=-4

Plug back into your variable assignment (Let...)

So the sets of integers that work are 5,6 and -4,-3

These answers both check.

Good luck!

Source(s): I am a high school math teacher.

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