Identify all of the real roots of x^3-5x^2+8x+4=0.

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There is only one real root, x=-0.39486 approx.

Rewrite the equation: x(x^2-5x+8)=-4; x=-4/(x^2-5x+8).

A graph of the function shows the root to be about -0.4, so put this value into the right-hand expression:

x=-0.3937... Now plug this value into expression, and we get: x=-0.39512... And so on. After repeating this exercise a few times we arrive at x=-0.3948586756.

by Top Rated User (1.2m points)

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