Question 123585
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