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13 June, 03:02

How do you solve the equation 5/x = x-4

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  1. 13 June, 03:59
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    x=5

    Step-by-step explanation:

    write x - 4 as a fraction with denominator = 1

    5/x = (x - 4) / 1

    Now cross multiply

    x (x - 4) = 5 multiply out and collect all terms on the left side of the equal sign

    x2 - 4x - 5 = 0 factor the quadratic into two binomials

    (x - 5) (x + 1) = 0 the product of two numbers = 0 when either number is zero

    Therefore x = 5 or x = - 1
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