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Ejercicio 254

Gestor Baldor
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DESCARGA
CAPITULO XXXII

CANTIDADES IMAGINARIAS
Ejercicio 254
Simplificar
  1. –4 + –16 = ( –1 ) ( 2 2 ) + ( –1 ) ( 4 2 ) =2 –1 +4 –1 =2i+4i =6i
  2. –25 + –81 – –49 = ( –1 ) ( 5 2 ) + ( –1 ) ( 9 2 ) – ( –1 ) ( 7 2 ) =5 –1 +9 –1 –7 –1 =5i+9i–7i =7i
  3. 2 –9 +3 –100 =2 ( –1 ) ( 3 2 ) +3 ( –1 ) ( 1 0 2 ) =2.3 –1 +3.10 –1 =6i+30i =36i
  4. 3 –64 –5 –49 +3 –121 =3 ( –1 ) ( 8 2 ) –5 ( –1 ) ( 7 2 ) +3 ( –1 ) ( 11 ) 2 =3.8 –1 –5.7 –1 +3.11 –1 =24i–35i+33i =22i
  5. 2 – a 2 + – a 4 + – a 6 =2 ( –1 ) ( a 2 ) + ( –1 ) ( a 4 ) + ( –1 ) ( a 6 ) =2a –1 + a 2 –1 + a 3 –1 =2ai+ a 2 i+ a 3 i =i( 2a+ a 2 + a 3 )
  6. –18 + –8 +2 –50 = ( –1 ) ( 2 ) ( 3 2 ) + ( –1 ) ( 2 ) ( 2 2 ) +2 ( –1 ) ( 2 ) ( 5 2 ) =3 –1 2 +2 –1 2 +2.5 –1 2 =3 2 i+2 2 i+10 2 i =15 2 i
  7. 3 –20 –2 –45 +3 –125 =3 ( –1 ) ( 5 ) ( 2 2 ) –2 ( –1 ) ( 5 ) ( 3 2 ) +3 ( –1 ) ( 5 ) ( 5 2 ) =3.2 5 –1 –2.3 5 –1 +3.5 5 –1 = 6 5 i – 6 5 i +15 5 i =15 5 i
  8. – a 4 +4 –9 a 4 –3 –4 a 4 = ( –1 ) ( a 4 ) +4 ( –1 ) ( 3 2 ) ( a 4 ) –3 ( –1 ) ( 2 2 ) ( a 4 ) = a 2 –1 +4.3 a 2 –1 –3.2 a 2 –1 = a 2 i+12 a 2 i–6 a 2 i =7 a 2 i
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