Presentation is loading. Please wait.

Presentation is loading. Please wait.

Complex Numbers Advanced Math Topics Mrs. Mongold.

Similar presentations


Presentation on theme: "Complex Numbers Advanced Math Topics Mrs. Mongold."— Presentation transcript:

1 Complex Numbers Advanced Math Topics Mrs. Mongold

2 Can you find the square root of a number? Lets see…

3 What about the sqare root of a number that isnt a perfect square?

4 So Lets Review… To find the square root of negative numbers you need to use imaginary numbers. i is the imaginary unit i 2 = -1 i =

5 What about the square root of a negative number?

6 The Square Root Property For any real number n, if x 2 =n, then x = ±

7 Lets Practice With i Simplify -2i (7i) (2 – 2i) + (3 + 5i) i 45 i 31

8 Solve 3x = 0 4x = 0 x 2 + 4= 0

9 More with Complex Numbers Multiply (3 + 4i) (3 – 4i) (1 – 4i) (2 + i) (1 + 3i) (7 – 5i) (2 + 6i) (5 – 3i)

10 More with Complex numbers Conjugate: a binomial with the opposite sign as the original binomial Given 2-i the conjugate is 2+i You use the conjugate to simplify a fraction containing imaginary numbers

11 Cant have i in the denominator Divide 3i 2 + 4i -2i 3 + 5i 2 + i 1 - i

12 More division 5 + i 2i 4 – i 5i

13 Homework Page 503/3-72 multiples of 3


Download ppt "Complex Numbers Advanced Math Topics Mrs. Mongold."

Similar presentations


Ads by Google