Question 392210: I want to know the formula that show the product of two consecutive integers that equals 72. Thanks Found 2 solutions by Earlsdon, ewatrrr:Answer by Earlsdon(6294) (Show Source):
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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...
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
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