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

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

asked Mar 5, 2014 in ALGEBRA 2 by rockstar Apprentice

1 Answer

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To find the real roots of such this complex polynomials there are so many methods are available.

One of the methods to find the real root is Newton Raphson method.

According to Newton Raphson method, approximate values of real roots are determine using formula

image, where n = 1, 2, 3, .....

Finding iteration continued upto image

When  image and when image

Let the approximate root is zero

Now,

Here the first approximation is

Now ,

Here the second approximation is

Now , image

Here the third approximation is

Now image, image

image

Here the fourth approximation is image

Now image, image

image

image

The real root of the equation is image.

answered Apr 9, 2014 by Johncena Apprentice

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