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5 July, 12:25

A system of equations consists of y = x3 + 5x + 1 and y = x. The equations are equal at approximately x = - 0.25, - 0.5, 0.5, 0.25

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  1. 5 July, 12:50
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    Y = x^3 + 5x + 1

    y = x

    When they are equal

    x^3 + 5x + 1 = x

    x^3 + 4x + 1 = 0

    x (x^2 + 4) = - 1

    -0.25 ((-0.25) ^2 + 4) = - 0.25 (0.0625 + 4) = - 1.02

    Therefore, the equation is equal at approximately x = - 0.25
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