Question 1075769
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<pre>
1.  The roots of the polynomial {{{x^2 - x -1}}} are

    {{{x[1,2]}}} = {{{(1 +- sqrt(1+4))/2}}} = {{{(1 +- sqrt(5))/2}}}.


2.  Substitute the root (the number) {{{(1+sqrt(5))/2}}} into the polynomial {{{x^5 -bx -c}}}.

    According to the condition, you will get the equation 

    {{{((1+sqrt(5))/2)^5}}} - {{{b*(1+sqrt(5))/2}}} - {{{c}}} = 0.


3.  From this point, read my solution to the problem

    <A HREF=https://www.algebra.com/algebra/homework/Expressions-with-variables/Expressions-with-variables.faq.question.1075766.html>https://www.algebra.com/algebra/homework/Expressions-with-variables/Expressions-with-variables.faq.question.1075766.html</A>

    
    https://www.algebra.com/algebra/homework/Expressions-with-variables/Expressions-with-variables.faq.question.1075766.html



4.  Armed with these hints, you are ready / are prepared to complete this assignment on your own.
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