How many values of x make the mean and median of a set of numbers equal?

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The discussion centers on determining the values of x that make the mean and median of the set of numbers {4, 5, 7, 9, x} equal. The mean, represented as f(x), is calculated to be (25 + x)/5, while the median, g(x), varies based on the value of x. The participants concluded that there are three specific values of x—0, 10, and 25/4—where f(x) equals g(x).

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Let f(x) be the mean of five numbers: 4, 5, 7, 9 and x. Let g(x) be the median of the same numbers.
For how many values of x, a real number, is f(x) = g(x)?

I only got 2. x = 0, 10

There are 3 though. Perhaps someone can help me find the other one.
 
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nevermind i found it. 25/4 was the last one.
 

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