The curve y = x 3 + 5x 1 cuts the x-axis at the point (,

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The curve y = x3 + 5x − 1 cuts the x-axis at the point (α, 0).
a. By sketching the graph of y = x3 and one other suitable graph, deduce that this is the only point where the curve y = x3 + 5x − 1 cuts the x-axis.

b. Using calculations, show that 0.1< α < 0.5.

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