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Metodos para hallar raices

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Marjorie Rincon

The document describes three methods for finding the roots of a quadratic function: factoring, the general formula, and synthetic division or Ruffini's method. It provides an example of finding the roots of the quadratic function f(x) = x^2 - 6x + 8. The roots are found to be x1 = 4 and x2 = 2 using all three methods.

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METODOS PARA HALLAR RAICES (FUNCION CUADRATICA)
..METODO DE FACTORIZACION.. F(X) = ?? - 6X + 8 0 = ?2 - 6X + 8 I) ?1 - 4 = 0 ?? = ? ?2 - 6X + 8 = 0 II) ?2 - 2 = 0 ?? = 2 (X ¨C 4) (X ¨C 2) = 0
..METODO DE FORMULA GENERAL.. F(X) = ?? - 6X + 8 a = 1 ? = ??¡À ?2?4?? 2? b = -6 ? = ? ?6 ¡À (?6)2?4(1)(8) 2(1) c = 8 ? = 6 ¡À 36?32 2
? = 6 ¡À 4 2 ? = 6 ¡À 2 2 ?1 = 6+2 2 ?2 = 6?2 2 ?? = 4 ?? = 2
..METODO DE DIVISION SINTETICA O DE RUFFINI.. F(X) = ?? - 6X + 8 ?8 = (¡À1, ¡À2, ¡À4, ¡À8) X = 4 ?? = 4 X ¨C 2 = 0 ?? = 2 X = 2

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Metodos para hallar raices

  • 1. METODOS PARA HALLAR RAICES (FUNCION CUADRATICA)
  • 2. ..METODO DE FACTORIZACION.. F(X) = ?? - 6X + 8 0 = ?2 - 6X + 8 I) ?1 - 4 = 0 ?? = ? ?2 - 6X + 8 = 0 II) ?2 - 2 = 0 ?? = 2 (X ¨C 4) (X ¨C 2) = 0
  • 3. ..METODO DE FORMULA GENERAL.. F(X) = ?? - 6X + 8 a = 1 ? = ??¡À ?2?4?? 2? b = -6 ? = ? ?6 ¡À (?6)2?4(1)(8) 2(1) c = 8 ? = 6 ¡À 36?32 2
  • 4. ? = 6 ¡À 4 2 ? = 6 ¡À 2 2 ?1 = 6+2 2 ?2 = 6?2 2 ?? = 4 ?? = 2
  • 5. ..METODO DE DIVISION SINTETICA O DE RUFFINI.. F(X) = ?? - 6X + 8 ?8 = (¡À1, ¡À2, ¡À4, ¡À8) X = 4 ?? = 4 X ¨C 2 = 0 ?? = 2 X = 2