SOLUTION: Two numbers differ by 3. Their squares differ by 189. Here is what I have come up with but cannot solve: (x+3)^2 - x^2 = 189 Am I on the right track?

Algebra ->  Sequences-and-series -> SOLUTION: Two numbers differ by 3. Their squares differ by 189. Here is what I have come up with but cannot solve: (x+3)^2 - x^2 = 189 Am I on the right track?      Log On


   



Question 238569: Two numbers differ by 3. Their squares differ by 189.
Here is what I have come up with but cannot solve:
(x+3)^2 - x^2 = 189
Am I on the right track?

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Two numbers differ by 3. Their squares differ by 189.
:
(x+3)^2 - x^2 = 189; is right on!
:
Just FOIL (x+3)(x+3)
x^2 + 6x + 9 - x^2 = 189
:
The neat thing is that the x^2 eliminate themselves, so we have
6x + 9 = 189
6x = 189 - 9
6x = 180
x = 30
;
:
Check this 33^2 - 30^2
1089 - 900 = 189!!