Intermediate value theorem: Proving an equation has at least one solution

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I discuss and solve an example where the existence of at least one positive solution is sought. The method involves the application of the intermediate value theorem. Such an example is seen in 1st and 2nd year university mathematics.
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Are there are concept in mathematics that pinpoint exactly that certain mathematical equations have n solution? For example, a particular equation has 3, 4, 5, ... solution.

GHXL
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Thanks that helped alot. See you at uni.

Husqvarnah
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you have an amazing accent. :) if you were my teacher, i would actually pay attention! haha

prabthepa