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Math Help - Quadratic Equation

  1. #1
    Junior Member Mist's Avatar
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    Quadratic Equation

    I'm stuck on this question
    It's solving the quadratic equation by completing the square

    4x^2-x=8

    Any help?
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  2. #2
    Super Member
    earboth's Avatar
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    Quote Originally Posted by Mist View Post
    I'm stuck on this question
    It's solving the quadratic equation by completing the square

    4x^2-x=8

    Any help?
    x^2-\dfrac14x=2 ......... Divide by the leading factor

    x^2-\dfrac14x+\dfrac1{64}=2 + \dfrac1{64} ......... take the half of the factor of x and square it. Add the square on both sides of the equation.

    \left(x-\dfrac18\right)^2= \dfrac{129}{64} ......... Transform the LHS into a complete square.

    Calculate the square-root on both sides and solve for x.
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