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23 January, 12:36

Graph y = x 3 and y = 16/x on the same set of coordinate axes. Use the graphs to find the exact solutions to the equation x 3 = 16/x. Verify by substitution that they satisfy the equation.

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  1. 23 January, 13:24
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    X3 = 16/x



    multiply both sides by x



    3x² = 16



    divide both sides by 3



    x² = 16 / 3



    take the square root



    x₁ = + 2.3

    x₂ = - 2.3

    In the figure below you see the two functions. In red y = 3x and in blue y = 16/x.

    They intersect at x₁ and x₂.
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