# Category: Complex numbers

## Synthetic division in complex numbers

## Useful Complex Number property

## Using GC in Complex Numbers

GC can be very helpful in solving certain problems in Complex Numbers.

**Example 1**

Use the GC to find the real value of k such that has a complex root 1-i.

**Solution**

Since 1-i is a root,

Using TI 84 Plus (OS 2.55) to evaluate the complex numbers, we have

2+k = 0

k=-2

**Example 2**

**Solution**

Since the equation is quadratic, we can use the quadratic formula.

Using the GC to evaulate the above,

z = 1+2i or -7i