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    pop000's Avatar
    pop000 Posts: 352, Reputation: 6
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    #1

    Dec 4, 2010, 02:57 AM
    Prove the radical in the Equation
    be cosx=x^2.

    Prove that this equation has exactly two radical .
    how I do it?

    thanks for help
    galactus's Avatar
    galactus Posts: 2,271, Reputation: 282
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    #2

    Dec 4, 2010, 06:59 AM

    What do you mean 'prove it has two radicals'?



    If you graph this you have parabola. If you want the x intercepts/zeros, note where it crosses the x-axis.

    You can also use Newton's method to solve for x if you want to do it algebraically.






    Perform the iterations and home in on the values.

    It is symmetric about the y-axis, so the solution is the positive and negative of the same value. The parabola is concave down with vertex at (0,1).

    Other than that, I am sorry but I do not know to what you are referring.
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