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Math Help - Can anybody give me a hint on how to solve these?

  1. #1
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    Can anybody give me a hint on how to solve these?

    I need help getting started with these equations...pretty much stuck! I need to solve for x. Thanks!

    1.
    (x^2+4x+10)^2-7(x^2+4x+11)+7<0

    2.
    \sqrt{1/{x^2}-3/{4}}<1/{x}-1/{2}

    Thank you!
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  2. #2
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    [quote=nathan02079;258600]I need help getting started with these equations...pretty much stuck! I need to solve for x. Thanks!

    1.
    (x^2+4x+10)^2-7(x^2+4x+11)+7<0

    First simplify:
    x^4+4x^2+10^2-7x^2+28x+77+7<0
    x^4-3x^2+28x+184<0

    Then don't you just do it the same way you would with an equal sign only you flip the sign around, so it looks something like...
    x^4-3x^2+28x>-184
    ...and so on dividing by 28 and then taking the square root etc.
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  3. #3
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    Thanks for the help, but I think it's...

    (x^2+4x+10)(x^2+4x+10)-7(x^2+4x+11)+7<0
    x^4+8x^3+29x^2+52x+30<0
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  4. #4
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    Oh true. The second part would still be the same though. You still need to multiply that second set by 7 and then just solve like you normally would.
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  5. #5
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    i think its x4 +16x2+100-7x2+28x+77+7<0

    thats all i know sorry
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  6. #6
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    Quote Originally Posted by CalcQueen View Post
    Oh true. The second part would still be the same though. You still need to multiply that second set by 7 and then just solve like you normally would.
    You mean I would have to multiply

    x^4+8x^3+29x^2+52x+30 by 7?
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