math

Solve the equation for x. For each of the following problems is it possible for x to be equal to: 1?

(x+m)/(x−1)=1

If m ≠ -1, there are no solutions\

if m=1, the solution is ?
Ii do not now how to find the solution for if m=1 but i got all real numbers, but my teacher says that it is wrong

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asked by allie
  1. If m=1, you have

    (x+1)/(x-1) = 1
    x+1 = x-1
    1 = -1

    So, there is no solution, as you already noted.

    This is made clear when you solve for x:

    (x+m)/(x−1)=1
    x+m = x-1
    m = -1

    That is the only value of m which works.

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    posted by Steve
  2. I agree, unless you also use m = i^2 where i = sqrt(-1)

    There is no possible solution for m =+1.

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    posted by Joe

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