The sum of the squares of the two larger of three consecutive even integers is 12 less than 4 times the square of the smaller one. Find the even numbers?

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John McCann Profile
John McCann answered

(X + 2)^2 + (X + 4)^2 = X^2 - 12

X^2 + 4X + 4 + X^2 + 8X + 16 = X^2 - 12

2X^2 + 12X + 20 = X^2 - 12

X^2 + 12X + 32 = 0

(X + 4)(X + 8)

======Try....,

( 4, 8, 12)

======See how that works.

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