The product of two consecutive negative integers is 600. what is the value of the lesser integer?

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The product of two consecutive negative integers is 600. what is the value of the lesser integer?

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N and n + 1 are two consecutive negative integers. We say that these two integers are 600 products:

n (n + 1) = 600

n ^ 2 + n = 600

n ^ 2 + n-600 = 0

n ^ 2 + 25n-24n-600 = 0

n (n + 25) -24 (n + 25) = 0

(n-24) (n + 25) = 0, since we are told that n is negative …

n = -25

(…- 25 (-24) = 600 so -25 is the value of the smallest integer)