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  • Jun 29, 2010, 07:01 PM
    MathMomma
    2x^2-x-1=0
    help!

    I need to solve 2x^2-x-1=0
  • Jun 30, 2010, 06:33 AM
    Nathany
    You can use the quadratic formula. This formula can factor any trinomial. It is as follows:

    [CENTER]-b+or-sqrt(b^2-4ac)
    2a =x

    The reason there is a plus or minus is because there are usually 2 answers to a trinomial.

    a is the number the squared variable is multiplied by, in this case 2. (2x^2)
    b is the number the variable is multiplied by, in this case -1. (-x)
    c is the number the number with no variable is, in this case -1. (-1)

    Now, all you have to do is find the answers to the equation:

    1+or-sqrt[(-1)^2-4(2)(-1)]
    2a =x

    Sorry if you already know what the quadratic formula is but I can only assume that it is completely new to you.
  • Jun 30, 2010, 06:36 AM
    Nathany

    Sorry, the underlined part is supposed to be all divided by the 2a and that quotient will be x.

    Also, In the second equation 2a should be 2(2).
  • Jul 1, 2010, 02:07 AM
    Unknown008

    Well, it's a perfect square... by inspection, we know that:



    I don't find any serious need to use the quadratic formula, which is more time consuming... and if it's difficult to understand the formula, let me post it:

    For a quadratic equation of the form:



    The formula for solving x is:


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