Factorizacion
Enviado por deliadelia • 10 de Junio de 2013 • 2.012 Palabras (9 Páginas) • 455 Visitas
FACTORIZACION DE ECUACIONES
1. X2 – 16 = 0 2. X2 + 3X – 10 = 0
(X – 0) (X – 16) = 0 (X + 5) (X – 2) = 0
X – 0 = 0 X – 16 = 0 X + 5 = 0 X – 2 = 0
X1 = 0 X2 = 16 X1 = -5 X2 = 2
3. X2 – 8X +15 = 0 4. X2 – 5X = 0
( X – 3 ) (X – 5) = 0 (X – 1 ) (X – 5 ) = 0
X – 3 = 0 X – 5 = 0 X - 1 = 0 X – 5 = 0
X1 = 3 X2 = 5 X1 = 1 X2 = 5
5. X2 - 4X + 4 = 0 6. X2 – 2X – 24 = 0
(X – 2) (X – 2) = 0 (X – 6) (X + 4) = 0
X1 = 2 X1= 6 X2 = -4
7. 2X2 – 11X – 6 = 0 8. 3X2 + 2X – 1 = 0
4X2 – 4(11X) – 24 = 0 9X2 + 3 (2X) – 3 = 0
4X2 – 11(4X) – 24 = 0 9X2 + 2 (3X) – 3 = 0
Z = 4X Y Z2 = 4X2 Z= 3X Y Z2 = 9X2
Z2 – 11Z – 24 = 0 Z2 + 2Z – 3 = 0
(4X – 3) (4X – 8) = 0 (3X + 3) (3X – 1) = 0
4X – 3 = 0 4X – 8 = 0 3X + 3 = 0 3X – 1 = 0
X1 = ¾ = ½ X2 = 8/4 = 2 X1 = 3/3 = -1 X2 = 1/3
9. 3X2 – 7X – 6 = 0 10. 6X2 – 11X + 3 = 0
9X2 + 3 (7X) – 18 = 0 36X2 – 6(11X) + 18 = 0
9X2 – 7 (3X) – 18 = 0 36X2 – 11(6X) + 18 = 0
Z = 3X Y Z 2 = 9X2 Z= 6X Y Z2 = 36X2
Z2 – 7Z – 18 = 0 Z2 – 11Z + 18 = 0
(3X + 2) (3X – 9 ) = 0 (6X – 2) (6X – 9)
3X + 2 = 0 3X – 9 = 0 6X – 2 = 0 6X – 9 = 0
X1 = - 2/3 X2 = 9/3 = 3
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