1 / 5

Complex Numbers: Standard Form, Add, Subtract, Multiply, Divide, Quadratic Formula, and Powers of "i

This guide explains complex numbers in standard form, demonstrates how to add, subtract, multiply, and divide complex numbers, solves quadratic equations using the quadratic formula, and evaluates powers of "i".

utt
Download Presentation

Complex Numbers: Standard Form, Add, Subtract, Multiply, Divide, Quadratic Formula, and Powers of "i

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. 2.4 Complex Numbers Standard form of a complex number a + bi Adding and Subtracting complex numbers (3 – i) + (2 + 3i) = 2i + (-4 – 2i) = 3 - (-2 + 3i) + (-5 + i) = 5 + 2i -4 -2i

  2. Multiplying Complex numbers Note: i2 = -1 (i)(-3i) = (2 – i)(4 + 3i) = (3 + 2i)(3 – 2i) = -3i2 = 3 8 + 6i – 4i – 3i2 = 11 + 2i 9 – 4i2 = 9 + 4 = 13 -6 Dividing Complex numbers

  3. Note: -6 -3

  4. Use the quadratic formula to solve 0 = 3x2 – 2x + 5

  5. i1 = i i2 = -1 i3 = -i i4 = (i2)2 = (-1)2 = 1 i5 = i What does i36 = (i2)18 = (-1)18 = 1 i53 = i

More Related