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The sum of the squares of two consecutive positive even numbers is 340. Find the numbers.
The consecutive even numbers are___ and ______.

Respuesta :

12 and 14

12^2=144
14^2=196

144+196=340

Answer: The answer to this math question about finding the numbers with the given sum of the squares of 2 consecutive positive even numbers are 12 and 14.

Step-by-step explanation: Here are the following steps in order to find the numbers with the given sum of the squares of 2 consecutive positive even numbers:

  • First we gonna use the exponents of the squares because you said that we are finding the numbers with the given sum of the squares of 2 consecutive positive even numbers that looks like this:  

1. 12²=144.

2. 14²=196.

  • Last but not least is were gonna add it up with the given sum of of the squares of 2 consecutive positive even numbers that looks like this:

144+196=340.

I hope that my given answer with my given explanation is very helpful to your own math question about finding the numbers with the given sum of the squares of 2 consecutive positive even numbers, please mark me as Brainliest and have a great rest of the weekend! :D

Sincerely,

Jason Ta,

The ambitious of Brainly and the role of The TDSB and WHCI Student of The High School.

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