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CLASE 1

CLASE 1. INTRODUCCIÓN. AMPLIACIÓN SUCESIVA DE LOS DOMINIOS NUMÉRICOS. Unidad 1: Números Complejos. Unidad 2: Geometría del Espacio. N. 15 3. 16 3. Q. x =. x =. +. x = 5,3. Q. 16 3. x = –5,3. x =. 3x – 9 = 6. 3x = 6 + 9. 3x = 15. x = 5. 3x – 9 = 7. 3x = 7 + 9.

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CLASE 1

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  1. CLASE 1

  2. INTRODUCCIÓN. AMPLIACIÓN SUCESIVA DE LOS DOMINIOS NUMÉRICOS.

  3. Unidad 1: Números Complejos Unidad 2: Geometría del Espacio

  4. N 15 3 16 3 Q x = x = + x = 5,3 Q 16 3 x = –5,3 x = 3x – 9 = 6 3x = 6 + 9 3x = 15 x = 5 3x – 9 = 7 3x = 7 + 9 3x = 16 . 3x + 23 = 7 3x = 7–23 3x = –16

  5. 3x + 23 = 7 3x = 7–23 3x = –16 R 30 3  x2 = Q 16 3 x = –5,3 x = 3x2 – 23 = 7 3x2 = 7 + 23 . 3x2 = 30 x = 10 x =3,1622776601… x2 = 10

  6. 8 5 1 3 • • •–5 3 •2 7 1 •– •– 6 2 •– 0,23 DOMINIOS NUMÉRICOS • R •– 0,786 N • –1,529 •log 2 Z •–1 •0,34 •0 Q •–2 • 1,529 •1 • 72 •–10 • 562 •–562 •– 52,7 Q+ • 1,638159... .

  7. ¿Resolver una ecuación? Hallar todos los valores que, perteneciendo a su dominio de definición, hacen cierta o satisfacen la igualdad. .

  8. 6x +1=4 Dom= {0} –3Dom 6–3 +1= 2Dom –3S 62 +1= 2S Ecuación fraccionaria –1 4 –2+1= x0 =4 3+1= 4 .

  9. Resuelve la ecuación: x3 ·(x–3) x+ = Dom= 3 S= 1 x–3 3x–8 x–3 x(x–3)+1=3x–8 x2–3x+1–3x+8=0 S= x2–6x+9=0 (x–3)2=0 Dom x=3 x–3=0 .

  10. ESTUDIO INDIVIDUAL 1 x–1 x2+ = 1– x2–2x x–1 x+2 + 4 = x Resuelve las ecuaciones: a) x=–2 b) x=7 .

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