Results 1 to 2 of 2

Thread: [SOLVED] Solve the inequality 2x^2 - 5x + 2 ? 0

  1. #1
    Member looi76's Avatar
    Joined
    Jan 2008
    Posts
    185
    Thanks
    1

    [SOLVED] Solve the inequality 2x^2 - 5x + 2 ? 0

    Question:
    Solve the inequality $\displaystyle 2x^2 - 5x + 2 \leq 0$

    Attempt:

    $\displaystyle 2x^2 - 5x + 2 \leq 0$

    $\displaystyle 2 [ x^2 - \frac{5x}{2} + \frac{2}{2} ]$

    $\displaystyle 2 [ x^2 - 2.5x + 1 ]$

    $\displaystyle 2 [ (x - \frac{2.5}{2})^2 - (\frac{2.5}{2})^2 + 1 ]$

    $\displaystyle 2 [ (x - \frac{2.5}{2})^2 + 2\frac{9}{16} ]$

    What to do next?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Senior Member Peritus's Avatar
    Joined
    Nov 2007
    Posts
    397
    $\displaystyle
    \begin{gathered}
    x_{1,2} = \frac{{5 \pm \sqrt {25 - 16} }}
    {4} = 2,\frac{1}
    {2} \hfill \\
    \hfill \\
    \to 2x^2 - 5x + 2 = 2\left( {x - 2} \right)\left( {x - \frac{1}
    {2}} \right) \hfill \\
    \end{gathered}
    $

    thus:

    $\displaystyle
    \frac{1}
    {2} \leqslant x \leqslant 2
    $
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Solve inequality.
    Posted in the Pre-Calculus Forum
    Replies: 3
    Last Post: Sep 1st 2011, 04:06 AM
  2. [SOLVED] Solve the inequality
    Posted in the Pre-Calculus Forum
    Replies: 4
    Last Post: Aug 27th 2011, 01:04 AM
  3. Replies: 2
    Last Post: Nov 16th 2009, 06:45 AM
  4. Solve this inequality
    Posted in the Algebra Forum
    Replies: 5
    Last Post: Jun 12th 2009, 03:51 PM
  5. [SOLVED] solve and graph inequality
    Posted in the Algebra Forum
    Replies: 1
    Last Post: Jun 13th 2006, 11:18 PM

Search Tags


/mathhelpforum @mathhelpforum