SOLUTION: the sum of the squares of two consecutive even integers is 452. find the numbers.

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Question 115744This question is from textbook Algebra, structure and meathod, book 1
: the sum of the squares of two consecutive even integers is 452. find the numbers.
This question is from textbook Algebra, structure and meathod, book 1

Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!

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

Let two consecutive even integers be:
and
the sum of the squares:



……..move to the left to get a standard form of quadratic equation
……..
…….. divide by
……..use quadratic formula to solve for
















So, if => ……….1.
and if => ………2.
check solutions:

1.



2.




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