Question

1. 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 reach 1 for an answer? You should have.

2. 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.

The number I picked was 28, how do I rewrite this as a rational expression?

Answer 1

\[(x^2-1)/(x-1)-x=(x+1)(x-1)/(x-1)-x=(x+1)-x=1\]

Answer 2

you rewrite it as a rational expression with a variable (I used x)

Answer 3

The goal of a rational expression is to equal one?

Answer 4

If you solve the expression that is described in words, calling x the initial number, you get 1 as a solution for any value of x (except 1, since if x=1, x-1=0 and you can't divide by 0)

Answer 5

The rational expression is the first thing I wrote (before the first =)
(x2−1)/(x−1)−x

Answer 6

I guess I am confused on what a rational expression is ?

Answer 7

I would call that an expression with ratios (i.e. something divided by something else)

Answer 8

But beware english is NOT my mother language!

Answer 9

Okay, I am still a lil confused, but I will keep studying.Thanks!