Multiply Simplify Write the expression as a complex number.
-
Upload
baldwin-pope -
Category
Documents
-
view
227 -
download
0
Transcript of Multiply Simplify Write the expression as a complex number.
![Page 1: Multiply Simplify Write the expression as a complex number.](https://reader035.fdocuments.net/reader035/viewer/2022062317/5a4d1bf97f8b9ab0599eab14/html5/thumbnails/1.jpg)
Multiplying & Dividing Complex Numbers
![Page 2: Multiply Simplify Write the expression as a complex number.](https://reader035.fdocuments.net/reader035/viewer/2022062317/5a4d1bf97f8b9ab0599eab14/html5/thumbnails/2.jpg)
Remember that Therefore:
What is
What is
![Page 3: Multiply Simplify Write the expression as a complex number.](https://reader035.fdocuments.net/reader035/viewer/2022062317/5a4d1bf97f8b9ab0599eab14/html5/thumbnails/3.jpg)
𝑖2=−1
![Page 4: Multiply Simplify Write the expression as a complex number.](https://reader035.fdocuments.net/reader035/viewer/2022062317/5a4d1bf97f8b9ab0599eab14/html5/thumbnails/4.jpg)
Multiply
![Page 5: Multiply Simplify Write the expression as a complex number.](https://reader035.fdocuments.net/reader035/viewer/2022062317/5a4d1bf97f8b9ab0599eab14/html5/thumbnails/5.jpg)
Simplify
![Page 6: Multiply Simplify Write the expression as a complex number.](https://reader035.fdocuments.net/reader035/viewer/2022062317/5a4d1bf97f8b9ab0599eab14/html5/thumbnails/6.jpg)
Write the expression as a complex number
![Page 7: Multiply Simplify Write the expression as a complex number.](https://reader035.fdocuments.net/reader035/viewer/2022062317/5a4d1bf97f8b9ab0599eab14/html5/thumbnails/7.jpg)
You Try
![Page 8: Multiply Simplify Write the expression as a complex number.](https://reader035.fdocuments.net/reader035/viewer/2022062317/5a4d1bf97f8b9ab0599eab14/html5/thumbnails/8.jpg)
Complex ConjugatesThese are used to rationalize a
denominator. Imaginary numbers are NOT allowed in the denominator.
What is the conjugate?(4+3i)(7+12i)(-3-4i)(-5+8i)
![Page 9: Multiply Simplify Write the expression as a complex number.](https://reader035.fdocuments.net/reader035/viewer/2022062317/5a4d1bf97f8b9ab0599eab14/html5/thumbnails/9.jpg)
Write each expression as a complex number in
standard form
![Page 10: Multiply Simplify Write the expression as a complex number.](https://reader035.fdocuments.net/reader035/viewer/2022062317/5a4d1bf97f8b9ab0599eab14/html5/thumbnails/10.jpg)
Simplify*Remember to use the conjugate of the denominator to rationalize!
![Page 11: Multiply Simplify Write the expression as a complex number.](https://reader035.fdocuments.net/reader035/viewer/2022062317/5a4d1bf97f8b9ab0599eab14/html5/thumbnails/11.jpg)
Simplify*Remember to use the conjugate of the denominator to rationalize!
![Page 12: Multiply Simplify Write the expression as a complex number.](https://reader035.fdocuments.net/reader035/viewer/2022062317/5a4d1bf97f8b9ab0599eab14/html5/thumbnails/12.jpg)
You Try *Remember to use the conjugate of the denominator to rationalize!
![Page 13: Multiply Simplify Write the expression as a complex number.](https://reader035.fdocuments.net/reader035/viewer/2022062317/5a4d1bf97f8b9ab0599eab14/html5/thumbnails/13.jpg)
Solving for real numbers*Set real number to real number*Set imaginary number to imaginary number.
X + Yi = -2 + 3i
3X + Yi = -9 – 7i
![Page 14: Multiply Simplify Write the expression as a complex number.](https://reader035.fdocuments.net/reader035/viewer/2022062317/5a4d1bf97f8b9ab0599eab14/html5/thumbnails/14.jpg)
Your Turn -2X – 12Yi = 30 – 8i
3X – 4Yi = -21 – 42i