For what value of m does the equation have at least 2 solutions? (Hint: the number of solutions of f(x) horizontal line y = m and y = = f(x)) (x + 1)³ (x − 1)² = m = is exactly the number of intersection between the

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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### Problem 5

**Question:** For what value of \( m \) does the equation 

\[
\frac{(x+1)^3}{(x-1)^2} = m
\]

have at least 2 solutions?

**Hint:** The number of solutions of \( f(x) = m \) is exactly the number of intersections between the horizontal line \( y = m \) and \( y = f(x) \).
Transcribed Image Text:### Problem 5 **Question:** For what value of \( m \) does the equation \[ \frac{(x+1)^3}{(x-1)^2} = m \] have at least 2 solutions? **Hint:** The number of solutions of \( f(x) = m \) is exactly the number of intersections between the horizontal line \( y = m \) and \( y = f(x) \).
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