Answer :
The value of the lesser integer is -25. Let's assume the two consecutive negative integers are x and (x+1). According to the given information, the product of these two integers is 600.
We can set up the equation as follows:
x * (x+1) = 600
Expanding the equation:
x^2 + x = 600
Rearranging the equation:
x^2 + x - 600 = 0
To solve this quadratic equation, we can factorize it or use the quadratic formula. In this case, let's factorize it:
(x - 25)(x + 24) = 0
From the factored form, we have two possible solutions:
x - 25 = 0 or x + 24 = 0
Solving these equations:
x = 25 or x = -24
Since we are looking for a negative integer, the lesser integer is -25.
Therefore, the value of the lesser integer is -25.
Learn more about integer here: brainly.com/question/490943
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QUESTION:
The product of two consecutive negative integers is 600. What is the value of the lesser integer?
A. –60
B. –30
C. –25
D. –15
