# SOLUTION: I want to know the formula that show the product of two consecutive integers that equals 72. Thanks

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 Question 392210: I want to know the formula that show the product of two consecutive integers that equals 72. ThanksFound 2 solutions by Earlsdon, ewatrrr:Answer by Earlsdon(6294)   (Show Source): You can put this solution on YOUR website!Try this: Two consecutive integers can be represented by x and x+1, so if the product of these two equals 72, then this would be... or... Answer by ewatrrr(11168)   (Show Source): You can put this solution on YOUR website! ``` Hi two consecutive integers Let x and (x+1) represent the integers Question States: Write as we Read x(x+1) = 72 |Writing as we Read Sets Up this 'equation' solving for x x^2 + x = 72 x^2 + x -72 = 0 factoring (x+9)(x -8)= 0 Note:SUM of the inner product(9x) and the outer product(-8x) = x (x+9)= 0 x = -9 Consecutive Integers -9,-8 (x -8)= 0 x = 8 Consecutive Integers 8,9 both sets satisfy the conditions that x(x+1) = 72 ```