(Solution) - Beam Deflection A beam rests at two points A and -(2025 Original AI-Free Solution)

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Beam Deflection. A beam rests at two points A and B and has a concentrated load applied to its center. Let y = the deflection, in feet, of the beam at a distance of x feet from A. Under certain conditions, this deflection is given by
y = 1/13x3 - 1/14x.
Find the zeros of the polynomial is the interval [0, 2].