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Conjugate Roots of a Cubic - Graphical Method of Yanosik

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Find to three decimal places the one real root of X^3 + 3X^2 + 2 = 0. Then use the approximate real root and compute the two conjugate roots using the graphical method of Yanosik.

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Solution Summary

Complex conjugate roots of a cubic equation have been determined using the graphical method of Yanosik.

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x^3 + 3x^2 + 2 = 0
Let f(x) = x^3 + 3x^2 + 2
Yanosik Method to find the roots of the equation:
First we draw the graph of f(x) = x^3 + 3x^2 + 2.
This gives the x-intercept as x = -3.195 (correct to ...

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