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

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) (Show Source): You can put this solution on YOUR website!
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.

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