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Algebra

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Solve for x: (x/4)-(5/x)=(1/4)

  • Algebra -

    how about multiplying each term by 4x ?

    x^2 - 20 = x
    x^2 - x - 20 = 0

    solve for,
    an easy one, it factors

  • Algebra -

    Wouldn't it be x^2-20=4 since (1/4)•4x= (4x/4)? So that means it would be x^2-24=0, right? Where would I go from there?

  • Algebra -

    ...since (1/4)•4x= (4x/4)?

    yup, and what is 4x/4 ?
    isn't that x ?

    so you know how to factor simple trinomials?
    x^2 - x - 20 = 0
    (x-5)(x+4) = 0
    so x = 5 or x = -5

    check:
    if x = 5
    5/4 - 5/5 = 5/4 - 1 = 1/4 , check!
    if x = -4
    -4/4 - 5/-4
    = -1 + 5/4 = 1/4 , check!

    my answers are correct

  • Algebra -

    Ay, my bad. Thanks :) and you mean x=5 or x=-4 right?

  • Algebra -

    right, x = 5 and x = -4,

    my bad, lol

  • Algebra -

    Haha its ok. Thanks for the help.

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