The sum of the squares of two consecutive even integers is 452. find the two integers.

Hi there! We can create a number equation to find your solution. Already, we know that two consecutive integers can be represented by . All we have to do is square that expression and make it equal to 452. This gives us:

We can simplify that down to . Now, we can subtract 452 from both sides to make the whole left side equation equal to zero. Doing that gives us . We see that 2 can be factored out of the whole equation, giving us . Next, we can factor the equation to get . We can use the Zero Product Property to find the x values of -16 and 14. Therefore, the two integers are -16 and 14. Hope this helped!

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