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3 years ago

The product of two consecutive even integers is 224. what are the integers?

Mathematics

2 answers:

soldi70 [24.7K]3 years ago

4 0

Answer:

2*112=224

4*56=224

8*28=224

14*16=224

Step-by-step explanation:

any one of those 4 you can use to answer the problem

algol [13]3 years ago

3 0

Answer:

16, -16, 14, and -14

Step-by-step explanation:

The easiest way of solving this question is by setting up an equation. Let's use "n" to represent any random possible integer.

n (n + 2) = 224

Simplifying:

x^2 + 2n - 224 = 0

(n + 16)(n - 14) = 0

n = -16, 16 or n = -14, 14

<u>Check:</u>

16 * 14 = 224

-16 * -14 = 224

Thus, answers of 16, -16, 14, and -14 all work correctly.

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