Given the equation =0, find the values of k such that one root
of the equation is less than 1; another root is in the interval
(1, 4); and the third root is greater than 4. [Problem submitted
by Steve Lee, LACC Professor of Mathematics.] Solution for
Problem 7: Let f(x)= , then a rough sketch of the graph of f(x)
is the following. k must satisfy both (1) and (2).