SOLUTION: Teacher's own problem, not loacted in a book. Three consecutive even integers are such that the square of the third is 76 more than the square of the second. Find the three integer

SOLUTION: Teacher's own problem, not loacted in a book. Three consecutive even integers are such that the square of the third is 76 more than the square of the second. Find the three integer

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Question 35922: Teacher's own problem, not loacted in a book. Three consecutive even integers are such that the square of the third is 76 more than the square of the second. Find the three integers.
Answer by Prithwis(166) (Show Source): You can put this solution on YOUR website!
Let the consecutive even integers be (x-2),x,(x+2)
(x+2)^2 = 76 + x^2
=> x^2+4x+4 = x^2+76
=> x = 18
The consecutive integers are 16, 18, 20
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