# TI-BASIC:A Bi

From Learn @ Cemetech

**Command Summary**

Puts the calculator into a+b*i* mode.

**Command Syntax**

a+b*i*

**Menu Location**

Press:

- MODE to access the mode menu.
- Use the arrow keys and ENTER to select a+b
*i*

TI-83/84/+/SE

1 byte

The a+b*i* command puts the calculator into rectangular complex number mode. This means that:

- Taking square roots of negative numbers, and similar operations, no longer returns an error.
- Complex results are displayed in the form a+b
*i*(hence the name of the command)

This is the standard way of displaying complex numbers, though they can also be displayed in polar form (see re^θi for more details). To extract the coefficients a and b, use the real( and Imag( commands.

# Advanced Uses

Rather than switch to a+bi mode, you might want to force the calculations to use complex numbers by making the original argument complex. The general way to do this is by adding +0i to the number. However, there may be an optimization in any particular case. See the Quadratic_Formula routine for a good example of this.

Real Done √(-1) (causes an error) √(-1+0i) i