SOLUTION: Please help me solve this equation! The sum of the squares of two consecutive even integers is 452. Find the numbers. What formula should be used to solve this?

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Try this:
Let x = the first even number, the x+2 = the next consecutive even number.
From the problem description, you can write:
Simplify this.

Subtract 452 from both sides.
Factor out a 2 to ease the calculations a bit.
so that:
Solve this quadratic by factoring:
so then...
or
Now since the problem did not restrict the answers to positive integers, there are two solutions:
1) and
2) and