Using graphs to understand a question.

Algebra Level 3

The curve \(f(x) = x^5 - 2x^3 + x\) has a local minimum at \((-0.447, -0.286)\). How many real solutions are there to the equation \(x^5 - 5x^4 + 8x^3 - 4x^2 + 1 = 0\) ?

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