Roots of equations

Roots of equations

If we have the function:

Y=f(x)

The values that makes y=0 are called roots of equation. In case of real estate it correspond to x values where the function had cut the x axis.

Fundamental theorem of algebra states that a polynomial of degree n has n roots, for example, a cubic polynomial has three distinct roots:

1.         A real root.2.       A simple real root and one real root.
3.       Oner real root and a complex conjugate pair.

The methods  for finding the real roots are divides into intervals and open methods.

Methods of intervals: or closed. This methods needs two initial values to restrict the root, this values establish a interval, which will be gradually reduced. In this way we can reach an approximation of the real value, for this reason these methods are CONVERGENTS.

Open methods: this methods needs a single initial value, x, this is a initial approach to the root. In some cases this methods don´t reach a good approximation, instead of this methods are DIVERGENTS. 

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