sábado, 15 de mayo de 2010

RAICES DE ECUACIONES

This problems are related with one variable valor our parameter that satisfy some equation. Then are useful in engineering problems when are impossible find parameters from some equations with analytic techniques.
Is Y= f(x). The x values who carry that y=0 are called, equations raiz. Algebra theorem says that all polynomials from n grade have n raiz. In the real raiz, we can say tally with x values whose the function cut the abcises axis.
The polynomial raiz maybe real’s our complex. If a polynomial had coefficients: coefficients ---a0, a1, a2,… an-1, --- an real’s, however all complex raiz always will be in complex conjugate pars . For example, Cubic polynomial has the next form:
f(x)=aox3+a1x2+a2x+a3
Fundamental algebra theorem says that someone n grade polynomial, have n raiz. In cubic polynomial case we can obtain:
-3 real raiz diferents.
-1 real raiz with multiplicity 3.
-1 simple real raíz and 1 real raiz with multipliciy 2.
-1 real raiz and a complex conjugated pair
The methods to find the real raiz from algebraic equations have to method: interval method and opened method. This presentation don’t want explain every one of methods but we will classified and designated.


Referencias
*"Modelos, métodos numéricos y computadoras", Jorge Icaro Condado Jauregui, Notas del instituto de Investigación en ciencias matemáticas

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