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Math Help - values of x of factored equation (roots)

  1. #1
    rcs
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    values of x of factored equation (roots)

    i was trying to use the quadratic formula and it seems like my answer never match on the given answer provided.

    ( x -2) ( 2x - 1) = 5



    i also tried (x -2) = 5 | (2x - 1) = 5 but still it not equal to the provided answers or root like 3 and -1/2

    little guide on here ... thanks
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  2. #2
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    Re: values of x of factored equation (roots)

    Quote Originally Posted by rcs View Post
    i was trying to use the quadratic formula and it seems like my answer never match on the given answer provided.

    ( x -2) ( 2x - 1) = 5



    i also tried (x -2) = 5 | (2x - 1) = 5 but still it not equal to the provided answers or root like 3 and -1/2

    little guide on here ... thanks
    Are you trying to solve this equation? If so

    \displaystyle \begin{align*} (x - 2)(2x - 1) &= 5 \\ 2x^2 - x - 4x + 2 &= 5 \\ 2x^2 - 5x - 3 &= 0 \\ 2x^2 - 6x + x - 3 &= 0 \\ 2x(x - 3) + 1(x - 3) &= 0 \\ (x - 3)(2x + 1) &= 0 \\ x - 3 = 0 \textrm{ or } 2x + 1 &= 0 \\ x = 3 \textrm{ or } x &= -\frac{1}{2} \end{align*}
    Thanks from rcs
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  3. #3
    rcs
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    Re: values of x of factored equation (roots)

    My God! Prove It it is you again! thank u thank you... My Salute to you million times. i never thought it could be done like that.... My knowledge is so limited. Thank you Much Sir.
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