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CAPITULO XXXII

CANTIDADES IMAGINARIAS
Ejercicio 263
Dividir:
  1. (1+ 1 ) ÷ (1 1 ) 1+ 1 1 1 = 1+ 1 1 1 × 1+ 1 1+ 1 = (1+ 1 ) 2 1 2 ( 1 ) 2 = 1+2 1 + ( 1 ) 2 1(1 ) = 1 +2 1 1 1+1 = 2 1 2 =i
  2. (3+ 1 ) ÷ (3 1 ) = 3+ 1 3 1 × 3+ 1 3+ 1 = (3+ 1 ) 2 3 2 ( 1 ) 2 = 9+6 1 + ( 1 ) 2 9(1 ) = 9+6 1 1 9+1 = 8+6 1 10 = 2 (4+3i ) = 4+3i 5
  3. (53 1 ) ÷ (3+4 1 ) = 53 1 3+4 1 × 34 1 34 1 = (53i ) (34i ) 3 2 (4i ) 2 = 1520i9i+12 i 2 916 i 2 = 1529i+12(1 ) 916(1 ) = 1529i12 9+16 = 329i 25
  4. (85i ) ÷ (7+6i ) = 85i 7+6i × 76i 76i = (85i ) (76i ) 7 2 (6i ) 2 = 5648i35i+30 i 2 4936 i 2 = 5683i+30(1 ) 4936(1 ) = 5683i30 49+36 = 2683i 85
  5. (4+ 3 ) ÷ (54 3 ) = 4+ 3 54 3 × 5+4 3 5+4 3 = (4+ 3 i ) (5+4 3 i ) 5 2 (4 3 ) 2 = 20+16 3 i+5 3 i+4(3 i 2 ) 2516(3 ) = 20+21 3 i+12 i 2 25+48 = 20+21 3 i+12(1 ) 73 = 20+21 3 i12 73 = 8+21 3 i 73
  6. ( 2 +2 5 ) ÷ (4 2 5 ) = 2 +2 5 4 2 5 × 4 2 + 5 4 2 + 5 = 2 +2 5 i 4 2 5 i × 4 2 + 5 i 4 2 + 5 i = ( 2 +2 5 i ) (4 2 + 5 i ) (4 2 ) 2 ( 5 i ) 2 = 4( 2 ) + 10 i+8 10 i+2( 5 ) i 2 16( 2 ) 5 i 2 = 8+9 10 i+10(1 ) 325(1 ) = 8+9 10 i10 32+5 = 2+9 10 i 37