Maintenance script: Initial automated import

2016-02-24T18:09:35Z

Initial automated import

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{{Template:TI-BASIC:Command
|picture=APLUSBI.GIF
|summary=Puts the calculator into a+b''i'' mode.
|syntax=a+b''i''
|location=Press:
# MODE to access the mode menu.
# Use the arrow keys and ENTER to select a+b''i''
|compatibility=TI-83/84/+/SE
|size=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 [[TI-BASIC:Re_Thetai|re^θi]] for more details). To extract the coefficients a and b, use the [[TI-BASIC:Real_Func|real(]] and [[TI-BASIC:Imag|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 [[TI-BASIC:Quadratic_Formula|Quadratic_Formula]] routine for a good example of this.

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

= Related Commands =

* [[TI-BASIC:Real_Mode|Real]]
* [[TI-BASIC:Re_Thetai|re^θi]]

= See Also =

* [[TI-BASIC:Quadratic_Formula|Quadratic Formula]][[Category:TI-BASIC]]
[[Category:TIBD]]

TI-BASIC:A Bi - Revision history

Maintenance script: Initial automated import