1 / 12

5.7.2 – Complex Numbers

5.7.2 – Complex Numbers. From yesterday, we learned the application of the imaginary unit i Used for problems such as; -5x 2 = 20. Complex Number. As part of the imaginary numbers and the imaginary number system, we have what are known as Complex Numbers What does the word complex mean?

copelandj
Télécharger la présentation

5.7.2 – Complex Numbers

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. 5.7.2 – Complex Numbers

  2. From yesterday, we learned the application of the imaginary unit i • Used for problems such as; • -5x2 = 20

  3. Complex Number • As part of the imaginary numbers and the imaginary number system, we have what are known as Complex Numbers • What does the word complex mean? • a + bi • a = real number • bi = imaginary number

  4. Combining Complex Numbers • Similar to like variables (2x, 10x, -x) and like powers (x4, 10x4), we may combine line terms from complex numbers • To add or subtract complex numbers, we do the following • 1) Combine the real parts with real parts • 2) Combine the imaginary parts with imaginary parts

  5. Example. Simplify the following expressions • 1) (2 + 5i) + (3 + 10i) • 2) (-9 – 4i) + 10i • 3) -13i – (4 + 6i) • 4) 19i – 5i + 2

  6. Multiplication • With multiplication, we will treat them as a previous problem we have already done • What does the problem (2 + 5i)(1 + i) resemble? • Is there a previous method we can use to help us?

  7. May use “FOIL” or the punnett square method • Example. Find the product of the two complex numbers; (2 + 5i)(1 + i)

  8. Example. Find the product of the two complex numbers; • (3 -2i)(3 + 2i)

  9. Example. Find the product of the two complex numbers; • (-4 -i)(-4 + 4i)

  10. Example. Find the product of the two complex numbers; • (i + 3)2

  11. Complete the following problems with your neighbors. We will check answers in 5 minutes. • Simplify each of the following expressions. • 1) 2 + 4i + 17 – 6i • 2) (9 + 7i) – (4 – 5i) • 3) (2 + i)(7 – 3i) • 4) (6 + 2i)(1 + 2i)

  12. Assignment • Pg. 265 • 27 – 49 odd

More Related