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Math Help - solve equations

  1. #1
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    Solve these please!!!

    questions are on attachment!!!
    Attached Thumbnails Attached Thumbnails solve equations-gash.jpg  
    Last edited by CaptainBlack; July 19th 2006 at 11:51 PM.
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  2. #2
    Eater of Worlds
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    What seems to be the trouble?. Try the Rational Root Theorem.
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  3. #3
    Grand Panjandrum
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    1. Solve 4x^4+12x^3+x^2-12x+4=0

    First sketch the curve y=4x^4+12x^3+x^2-12x+4.

    This appears to have a double root at x=-2, and it
    checks out that x=-2 is a root. Then dividing out gives:

    4x^4+12x^3+x^2-12x+4=(x+2)^2(4x^2-4x+1),

    from which the remaining roots can be found using the quadratic formula on:

    4x^2-4x+1=0.

    RonL
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  4. #4
    Grand Panjandrum
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    2. Solve x^3-4x^2-10x+4=0

    Use the same method as I suggested for part 1. Sketch the curve, looks
    like a root at x=-2 which checks out as a root. So x-2 is a
    factor of x^3-4x^2-10x+4, so divide it out to leave
    a quadratic which can then be solved using the quadratic formula.

    RonL
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