Let [math]{\small f(x) =  x^3 + c_2 x^2 + c_1 x + c_0, }[/math] where [br][list=1][br][*][math]{\small  f'(a) =  f'(b) = 0,}  \;\;\;\;\;\;  a, b[/math] real;  [math] \;\;\; b>a.[/math][br][*][math]{\small  f(b) < 0 }[/math][br][br]Then f(x) has a root   r > b given by the following recursion