SOLUTION: How to solve x^3-10x^2+24x-25=0

Question 1088692: How to solve x^3-10x^2+24x-25=0
Answer by ikleyn(52780) (Show Source): You can put this solution on YOUR website!
.

1.  There is NO integer or rational solutions.

    You can use the "Rational roots theorem" to prove it.


2.  There is only one real solution.

    It is IRRATIONAL number.


3.  You can use approximate/numerical methods ("technology") to solve the equation approximately.

    You can use free of charge online solvers for it.


    One such a solver is at this link:  http://www.wolframalpha.com/widgets/view.jsp?id=3f4366aeb9c157cf9a30c90693eafc55 


4.  I used this solver and got an approximate solution  x= 7.1236.

    f(7.1236) = 0.001535.

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