The product of two consecutive negative integers is 600. what is the value of the lesser integer? –60 –30 –25 –15

  -25

Step-by-step explanation:

You can try the offered choices:

  (-60)(-59) = 3540 ≠ 600

  (-30)(-29) = 870 ≠ 600

  (-25)(-24) = 600 . . . . . . the correct choice is -25

  (-15)(-14) = 210 ≠ 600

Since the integers are consecutive, they can be written in terms of their average (z) as ...

  (z -1/2)(z +1/2) = 600

  z^2 -1/4 = 600 . . . . . . . simplify

  z^2 = 600.25 . . . . . . . . add 1/4

  z = ±√600.25 = ±24.5

Since the integers are negative, the smaller one is -24.5 -0.5 = -25.

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You can skip the step of adding 1/4 to 600 and just look at -√600. it is about -24.5, so you know the lesser integer will be -25.

-25 or C

Step-by-step explanation:

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