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The base of a rectangle lies along the x-axis, and the upper two vertices are on the parabola defined by y = -x2 + k?,

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The base of a rectangle lies along the x-axis, and the upper two vertices are on the parabola defined by y = -x2 + k?, where k is a non-zero constant. Determine the value(s) of x that will give the rectangle with the largest area

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