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Math Help - Decimal search for roots

  1. #1
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    Exclamation Decimal search for roots

    I'm really stuck on the following question so please help...
    a) show praphically that the equation 3cos(x) = x^2+1 has exactly one positive real root

    the problem here is that I have no idea how to draw the graph etc.

    b) find an interval for this root in the form (a/10 , (a+1)/10 ) where a is an integer; theres a note saying to make sure that the calculator is in radians mode

    c) calculate this root to 1dp.

    I dont know whether parts b) and c) would ause me trouble, it's just that without part a) I can't really move on.

    any help will be appreciated, thanks
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  2. #2
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    Re: Decimal search for roots

    Surely you can graph y = 3cos(x) and y = x^2 + 1 and show they only intersect once in the domain \displaystyle x > 0...
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  3. #3
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    Re: Decimal search for roots

    that's so true.. I haven't thought of that, thanks!
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