Complex Numbers TENNESSEE STATE STANDARDS: HSN-CN.A.1 Know there is a complex number i such that i2 = −1, and every complex number has the form a + bi with a and b real. HSN-CN.A.2 Use the relation i2 = −1 and the commutative, associative, and distributive properties to add, subtract, and multiply complex numbers. HSN-CN.A.3(+) Find the conjugate of a complex number; use conjugates to find moduli and quotients of complex numbers. HSN-CN.B.4(+) Represent complex numbers on the complex plane in rectangular and polar form (including real and imaginary numbers), and explain why the rectangular and polar forms of a given complex number represent the same number.

Can you solve for x? i = Imaginary unit ( ) then You cannot take the square root of a negative number! Calculator gives error message. i = Imaginary unit ( ) then

Examples: 8.1 workbook page 123). Write each number in terms of i.

Graph: (2.) A.) - 4 - i B.) 5 TRY: 1 + 3i *C *B *A Y = Imaginary Axis X = Real Axis *A

8.2 workbook

Use a Conjugate

8.3 workbook Workbook page 133: Try These a & b.