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Prove that the equation 3x^(5)+15x-18=0 ...

Prove that the equation `3x^(5)+15x-18=0` has exactly one real root.

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To prove that the equation \(3x^5 + 15x - 18 = 0\) has exactly one real root, we will analyze the function defined by the left-hand side of the equation. ### Step-by-Step Solution: 1. **Define the Function**: Let \( f(x) = 3x^5 + 15x - 18 \). 2. **Find the Derivative**: ...
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