Question 950375
{{{x-1=sqrt(x^3-2x^2-5)}}}
{{{(x+1)^2=x^3-2x^2-5}}}
{{{x^2+2x+1=x^3-2x^2-5}}}
{{{x^3-3x^2-2x-6=0}}}
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{{{graph(300,300,-5,5,-5,5,x^3-3x^2-2x-6)}}}
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Using Newton's method with a starting value of {{{x=4}}},
*[illustration newt.JPG].
{{{x=3.91}}}