Download presentation

Presentation is loading. Please wait.

Published byAsia Wooton Modified over 3 years ago

1
Chapter 5 Section 4: Complex Numbers

2
VOCABULARY Not all quadratics have real- number solutions. For instance, x 2 = -1 has no real-number solutions because the square of any real number x is never negative.

3
THE SQUARE ROOT OF A NEGATIVE NUMBER PROPERTY NAME PATTERN EXAMPLE If r is a positive real number then By Property (1), it follows that

4
SOLVING A QUADRATIC EQUATIONS 1. s 2 = -13 2. 2x 2 + 11 = -37

5
COMPLEX NUMBERS (a + bi) REAL IMAGINARY PURE IMAGINARY (a + 0i) (a + bi)( b 0) (0 + bi)( b 0) -1 2 + 3i - 4i 5 – 5i 6i A complex number written in standard form is a number a + bi where a and b are real numbers. The number a is the real part of the complex number, and the number bi is the imaginary part.

6
ADDING AND SUBTRACTING COMPLEX NUMBERS (4 – i) + (3 + 2i) (7 – 5i) – (1 – 5i)

7
MULTIPLYING COMPLEX NUMBERS (4 – i)(3 + 2i) (7 – 5i)(1 – 5i)

Similar presentations

OK

Complex Numbers OBJECTIVES Use the imaginary unit i to write complex numbers Add, subtract, and multiply complex numbers Use quadratic formula to find.

Complex Numbers OBJECTIVES Use the imaginary unit i to write complex numbers Add, subtract, and multiply complex numbers Use quadratic formula to find.

© 2018 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google