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sveta [45]
4 years ago
11

The difference of the squares of two positive consecutive even integers is 36

Mathematics
1 answer:
lidiya [134]4 years ago
5 0

Answer:

8 and 10

Step-by-step explanation:

Let's call the two numbers x and (x+2). According to the problem, you can set up the following equation:

(x+2)^2-x^2=36

Factoring:

x^2+4x+4-x^2=36\\4x+4=36\\4x=32\\x=8\\x+2=10

Hope this helps!

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