# math

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The product of two consecutive positive integers is 11 more than their sum. What the integers? Please help.

• math -

x(x + 1) = x + (x + 1) + 11

• math -

x^2 + x = 2x + 12
x^2 -x -12 = 0
(x-4)(x+3) = 0

The only positive solution for x is
x = 4. That is the smaller of the two numbers.

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