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The sum of two consecutive even integers is -298, what are the integers?

Answer 1

Abigail Allen

#-198 = n + (n+2) = 2n+2#

Subtract #2# from both sides to get

#-200 = 2n#

Divide both sides by #2# to get

#n = -100#

So the integers we are looking for are #-100# and #-98#

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Answer 2

Jameson Allen

Let's denote the first even integer as ( x ) and the second consecutive even integer as ( x + 2 ).

According to the given information, the sum of these two integers is -298:

[ x + (x + 2) = -298 ]

Combining like terms:

[ 2x + 2 = -298 ]

Subtracting 2 from both sides:

[ 2x = -300 ]

Dividing by 2:

[ x = -150 ]

So, the first even integer is -150, and the second consecutive even integer is ( -150 + 2 = -148 ).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.