nataliem21 nataliem21
  • 17-05-2020
  • Mathematics
contestada

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

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osikbro
osikbro osikbro
  • 17-05-2020

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:

[tex](x+2)^2-x^2=36[/tex]

Factoring:

[tex]x^2+4x+4-x^2=36\\4x+4=36\\4x=32\\x=8\\x+2=10[/tex]

Hope this helps!

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