Question

Oblicz niewiadomą liczbę x:

a) 3 i 1/2 + ( 1 i 1/3 + x ) = 6

b) x - ( 7 i 1/3 + 2 i 3/5 ) = 3 i 1/4

c) 17 i 1/2 - ( 9 i 1/3 + x) = 4 i 1/4

d) ( 2 i 3/4 + 4 i 1/6) - (x - 4 i 1/2) = 5

Answer 1

a)

3 i 1/2 + ( 1 i 1/3 + x ) = 6

3 1/2+1 1/3+x=6

x = 6 - 3 1/2 - 1 1/3

x = 6 - 3 3/6 - 1 2/6

x = 6 - 4 5/6

x = 1 1/6

 

b)

x - ( 7 i 1/3 + 2 i 3/5 ) = 3 i 1/4

x-7 1/3 - 2 3/5 = 3 1/4

x = 13/4+22/3+13/5

x = 195/60 + 440/60 + 156/60

x = 791/60 = 13 11/60

 

c)

17 i 1/2 - ( 9 i 1/3 + x) = 4 i 1/4

35/2 - 28/3 - x = 17/4

-x = 17/4-35/2-28/3

-x = 51/12 - 210/12 - 112/12

-x = -271/12      /*(-1)

x = 271/12 = 22 7/12

 

d)

( 2 i 3/4 + 4 i 1/6) - (x - 4 i 1/2) = 5

11/4 + 25/6 - x + 9/5 = 5

-x = 5 -11/4-25/6-9/5

-x = 300/60 - 165/60 - 250/60 - 108/60

-x = - 223/60     /*(-1)

x = 223/60 = 3 43/60