A.6 Complex Numbers & Solving Equations

Imaginary Numbers

Complex numbers are numbers of the form where a is called the real part and b is the imaginary part Complex Numbers

To add complex numbers, add the real parts and add the imaginary parts together (same for subtraction). To multiply complex numbers, follow the usual rules for multiplying two binomials. DOUBLE DISTRIBUTION!!!

Given the following complex numbers, perform the indicated operations. Complex Numbers 1) 2) 3)

If is a complex number, then its conjugate, denoted by, is defined as Complex Numbers

Let’s find the conjugate of the following complex numbers and then multiply by the conjugate. Complex Numbers 1) 2) 3)

We can apply multiplying conjugates to quotients of complex numbers. Let’s write the following in standard form! Complex Numbers

Given the following complex numbers, perform the indicated operations. 1) 2) 3) 4)

Homework#8: p.1008 #9 – 45 Odd A.6 Complex Numbers & Solving Equations