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