Finding Number of Solutions Consider the equation . (a)
Chapter 0, Problem P.5.79(choose chapter or problem)
Finding Number of Solutions
Consider the equation \(\left|x^{2}-4\right|=c\).
(a) Find a value of c for which this equation has four solutions. (There are many such values.)
(b) Find a value of c for which this equation has three solutions. (There is only one such value.)
(c) Find a value of c for which this equation has two solutions. (There are many such values.)
(d) Find a value of c for which this equation has no solutions. (There are many such values.)
(e) Writing to Learn Are there any other possible numbers of solutions of this equation? Explain.
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