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Math Help - x ] - pi/4 , pi/4 ] ^ tg x = 2k(2) - 3k

  1. #1
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    x ] - pi/4 , pi/4 ] ^ tg x = 2k(2) - 3k

    Hello,
    I've been having some trouble solving this problem and would like to get some help on it..
    The problem is:
    Verify if there is any k number that will satisfact this condition:

    x \in ] -\frac{\pi}{4} , \frac{\pi}{4} ] \wedge  tg(x) = 2k^2 - 3k

    Thanks in advance..
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  2. #2
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    Quote Originally Posted by misterniceguy View Post
    Hello,
    I've been having some trouble solving this problem and would like to get some help on it..
    The problem is:
    Verify if there is any k number that will satisfact this condition:

    x \in ] -\frac{\pi}{4} , \frac{\pi}{4} ] \wedge  tg(x) = 2k^2 - 3k

    Thanks in advance..
    find a value of k that satisfies the inequality ...

    -1 \le 2k^2 - 3k \le 1
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  3. #3
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    Quote Originally Posted by skeeter View Post
    find a value of k that satisfies the inequality ...

    -1 \le 2k^2 - 3k \le 1
    Yes I actually did that, however I'm currently very poor on the inequations field...
    I know this is asking for too much.. But could anyone help me solve this?

    I'm in serious need here...
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  4. #4
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    Quote Originally Posted by misterniceguy View Post
    Yes I actually did that, however I'm currently very poor on the inequations field...
    I know this is asking for too much.. But could anyone help me solve this?

    I'm in serious need here...

    HI

    break the inequality into 2 parts ie

    -1\leq2k^2-3k

    2k^2-3k+1\geq0

    (2k-1)(k-1)\geq0

    Try continue here .

    The other parts would be

    2k^2-3k\leq1

    2k^2-3k-1\leq0

    try continue here too .

    after you got the solutions from the 2 parts , combine them
    Last edited by mathaddict; October 11th 2009 at 11:53 PM.
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  5. #5
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    Quote Originally Posted by mathaddict View Post
    HI

    break the inequality into 2 parts ie

    -1\leq2k^2-3k

    2k^2-3k+1\geq0

    (2k-1)(k-1)\geq0

    Try continue here .

    The other parts would be

    2k^2-3k\leq1

    2k^2-3k-1\geq0

    try continue here too .

    after you got the solutions from the 2 parts , combine them
    Hey man thanks a lot for trying to help but.. I quit.. I just can't do anything.

    This is getting really bad..
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