SOLUTION: Find three consecutive integers such that the sum of the suares of the smaller two is equal to the square of the largest

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Question 248682: Find three consecutive integers such that the sum of the suares of the smaller two is equal to the square of the largest
Answer by dabanfield(803) About Me  (Show Source):
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Find three consecutive integers such that the sum of the suares of the smaller two is equal to the square of the largest
Let x be the first integer,
Then the other two integers are x+1 and x+2.
Then we have:
x^2 + (x+1)^2 = (x+2)^2
x^2 + x^2 + 2x + 1 = x^2 + 4x + 4
x^2 - 2x - 3 = 0
Solve for x and then calculate x+1 and x+2.