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Factoring problem confused

  1. Aug 9, 2011 #1
    I added an attachment and highlited my question.... basically I am confused how they got there.

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  2. jcsd
  3. Aug 9, 2011 #2


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    It's just a bit of rearranging:

    Given y = [itex]\sqrt{ax^{2} + bx + c}[/itex]

    [itex]y^{2}[/itex] = a[itex]x^{2}[/itex] + bx + c.

    So replace a[itex]x^{2}[/itex] + bx + c from the initial equation with [itex]y^{2}[/itex].

    Replace the [itex]\sqrt{ax^{2} + bx + c}[/itex] part of the initial equation with y.

    Move q from one side of the equation to the other.

    Presto chango, [itex]y^{2}[/itex] + py - q = 0.
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