SOLUTION: Find two consecutive even integers such that the square of the larger is 44 greater that the square of the smaller

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Question 371959: Find two consecutive even integers such that the square of the larger is 44 greater that the square of the smaller
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi,

Let x represent the smaller of the two consecutive even integers,

then (x+2) would be the larger

Write as we Read***

(x+2)^2 = x^2 + 44

solving for x

x^2 + 4x + 4 = x^2 + 44

4x = 40

x = 10     10 and 12 are the two consecutive even integers



checking our answer

144 = 100 + 44