The product of two consecutive odd integers is 63. If x is the smallest of the integers, write an equation in terms of x that describes the situation, and then find all such pairs of integers. The equation that describes the situation is
The positive set of integers is
The negative set of integers is

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Step-by-step explanation:

If x is an odd integer, the next greater odd integer is x+2. The product is said to be 63, so the equation is ...

  x(x +2) = 63

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The equation can be rewritten as ...

  (x +1)² = 64

  x = -1 ±√64 = -1 ±8

The positive solution is x=7, so the positive set of integers is {7, 9}.

The negative solution is x=-9, so the negative set of integers is {-9, -7}.

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step-by-step explanation: