SOLUTION: Please help me solve this question: Let f(x)= m-(1/x), for x≠0. The line y=x-m intersects the graph of f in two distinct points. Find the possible values of m. Thank you!

Question 1144106: Please help me solve this question:
Let f(x)= m-(1/x), for x≠0. The line y=x-m intersects the graph of f in two distinct points. Find the possible values of m.
Thank you!
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Let f(x)= m-(1/x), for x≠0. The line y=x-m intersects the graph of f in two distinct points. Find the possible values of m.
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y = m-(1/x) --- x≠0
y = x-m
----
m - 1/x = x - m
mx - 1 = x^2 - mx
x^2 - 2mx + 1 = 0
Disc = (2m)^2 - 4 = 4m^2 - 4
For 2 different values, the Discriminant > 0
4m^2 - 4 > 0
m^2 > 1
|m| > 1 (absolute value of m)
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Problems are solved.
Equations are solved.

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