Complex Conjugate

To find the complex conjugate of a number just change the sign. Click below and get used to the idea

Number i thhhhhhhhhhhhhhhhhhhhhhhh i

Division of Complex Numbers

Complex conjugates are used in the division of complex numbers

Find
1+4i
in the form a + bi
2-i
 
1+4i
=
(1+4i)(2+i) Multiplying the top and bottom by the complex conjugate of the bottom is the same as multiplying by 1 so it does not change the value just the form.
 
2-i
(2-i)(2+i)
   
=
2+i+8i+4i2  
    4+2i-2i-i2 remember i2 = -1
 
=
2+9i-4 the 2i-2i cancelled each other out
  4-(-1)
    Solution
    -2 + 9i
    05 0 5