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31 August, 15:15

If x^2+1/x=18 then find The value of x minus 1/x

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  1. 31 August, 16:26
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    Hello.

    Multiply all terms by x and cancel:

    x2x+1=18x

    x3+1=18x (Simplify both sides of the equation)

    x3+1-18x=18x-18x (Subtract 18x from both sides)

    x3-18x+1=0

    (Use cubic formula)

    x=-4.27015,0.055565,4.214585

    Check answers. (Plug them in to make sure they work.)

    x=4.214585 (Works in original equation)

    x=-4.27015 (Works in original equation)

    x=0.055565 (Works in original equation)

    So the answer is: 4

    Have a nice day
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