Yes, the integers are 12 and 13.
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Well, darling, if you're looking for the product of two consecutive integers that equals 380, then you're in luck. The two integers are 19 and 20. See, no need to break a sweat over this math riddle. Just keep on strutting your stuff!
Let the two consecutive integers be x and x+1. The product of these two integers is x(x+1). Setting this equal to 132 gives us the equation x(x+1) = 132. By expanding the left side of the equation, we get x^2 + x = 132. Rearranging terms, we have x^2 + x - 132 = 0. This is a quadratic equation that can be factored as (x+12)(x-11) = 0. Therefore, the two consecutive integers are 11 and 12, and their product is 132.
-10 -11
-8 -9
There are no "two consecutive integers" that can do that.But there are two consecutive even integers that can: 8 and 10 .