SOLUTION: please help me to solve this: find three consecutive integers. the square of the largest one equals the sum of the squares of the other two.

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Question 123585: please help me to solve this:
find three consecutive integers. the square of the largest one equals the sum of the squares of the other two.
Answer by nadinadan(32) About Me  (Show Source):
You can put this solution on YOUR website!
Answer:
Let's change the words into math operations.
(x+2)^2=(x+1)^2 +x Simplify
x^2+2x+4=x^2+2x+1+x Put all the numbers on one side of the equal sign.
x^2+2x+4-x^2-2x-1-x=0 Simplify
x=3
So the 3 consecutive numbers are 3,4,5.
Verify: 5^2=3^2+4^2 25=9+16