SOLUTION: I'm not sure if I answered this problem right: The square of the first consecutive integer plus the square of the third consecutive integer equals 486 more than the square

Question 39405: I'm not sure if I answered this problem right:
The square of the first consecutive integer plus the square of the third consecutive integer equals 486 more than the square of the consecutive integer. find the integers.
Here's my work:

x^2 +x^2 +4X + 4 = 486 + x^2 +2x +1
2x^2 + 4x +4 = 487 + x^2 + 2x
Subtract x^2 + 2x + 487 from each side
x^2 + 2x - 483 = 0
(x+23) (x-21)
x = -23 x=21
Answer by venugopalramana(3286) (Show Source): You can put this solution on YOUR website!
GOOD TO SEE YOUR ATTEMP.KEEP IT UP!SEE MY COMMENTS BELOW
-----------------------------------------------------------------------
I'm not sure if I answered this problem right:
The square of the first consecutive integer plus the square of the third consecutive integer equals 486 more than the square of the consecutive integer. find the integers.
Here's my work:
x^2 + (x+2)^2 = 486 + (x+1)^2
x^2 +x^2 +4X + 4 = 486 + x^2 +2x +1
2x^2 + 4x +4 = 487 + x^2 + 2x
Subtract x^2 + 2x + 487 from each side
x^2 + 2x - 483 = 0
(x+23) (x-21)
x = -23 x=21..EXCELLENT ! NOTHING BETTER COULD BE DONE.KEEP IT UP
SO THE INTEGERS ARE 21,22,23 ................OR.......-23,-22,-21
RELATED QUESTIONS
Find three consecutive positive even integers such that the sum of the squares of the... (answered by richwmiller)

Three consecutive even integers are such that the square of the first integer plus the... (answered by checkley79)

3 consecutive even integers such that the sum of the squares of the first and second... (answered by CubeyThePenguin)

Can someone solve this word problem for me? find three consecutive positive odd... (answered by mananth)

there are three consecutive odd integers. if we take the difference of the third and the... (answered by josgarithmetic)

there are three consecutive odd integers. if we take the difference of the third and the (answered by josgarithmetic)

there are three consecutive odd integers. if we take the difference of the third and the... (answered by josgarithmetic,MathTherapy)

The square of the first consecutive plus the square of the third consecutive integer... (answered by Alan3354)

I am having a problem with solving the word equations. Im not sure of how to write them... (answered by RAY100)