SOLUTION: Find four consecutive even integers such that the square of the sum of the first and second is equal to 516 more than twice the product of the third and fourth. List the integers

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Question 1139046: Find four consecutive even integers such that the square of the sum of the first and second is equal to 516 more than twice the product of the third and fourth. List the integers from SMALLEST to LARGEST
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
first           n
second          n+2
third           n+4
fourth          n+6

%28n%2Bn%2B2%29%5E2=2%28n%2B4%29%28n%2B6%29%2B516
-
%282n%2B2%29%5E2=2%28n%5E2%2B10n%2B24%29%2B516
2%2A2%28n%2B1%29%5E2=2%28n%5E2%2B10n%2B24%29%2B2%2A258
2%28n%5E2%2B2n%2B1%29=%28n%5E2%2B10n%2B24%29%2B258
2n%5E2%2B4n%2B2=n%5E2%2B10n%2B282
n%5E2-6n-280=0
%28n%2B14%29%28n-20%29=0
highlight%28n=20%29

The integers should be 20, 22, 24, 26.

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

Find four consecutive even integers such that the square of the sum of the first and second is equal to 516 more than twice the product of the third and fourth. List the integers from SMALLEST to LARGEST
Correct answer: