SOLUTION: Take any number (except for 1). Square that number and then subtract one. Divide by one less than your original number. Now subtract your original number. Did you reached 1 for a

Algebra ->  Equations -> SOLUTION: Take any number (except for 1). Square that number and then subtract one. Divide by one less than your original number. Now subtract your original number. Did you reached 1 for a      Log On


   

Question 176054: Take any number (except for 1). Square that number and then
subtract one. Divide by one less than your original number. Now subtract your original number.
Did you reached 1 for an answer? You should have. How does this number game work? (Hint:
Redo the number game using a variable instead of an actual number and rewrite the problem as
one rational expression). How did the number game use the skill of simplifying rational
expressions? Create your own number game using the rules of algebra and post it for your
classmates to solve. Be sure to think about values that may not work. State whether your number
game uses the skill of simplifying rational expressions.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Take any number
z
Square that number and then subtract one.
z%5E2-1
Divide by one less than your original number.
%28z%5E2-1%29%2F%28z-1%29
Now subtract your original number.
%28z%5E2-1%29%2F%28z-1%29-z
We can factor z%5E2-1
z%5E2-1=%28z-1%29%28z%2B1%29
%28z%5E2-1%29%2F%28z-1%29-z
%28%28z-1%29%28z%2B1%29%29%2F%28z-1%29-z
%28cross%28%28z-1%29%29%28z%2B1%29%29%2Fcross%28%28z-1%29%29-z
%28cross%28z%29%2B1%29-cross%28z%29
1
That's how this game worked.
I leave it to you to come up with your own.
Working backwards is usually the best way to get the answer.