mac1147_lecture7_1_c

mac1147_lecture7_1_c - L7 Complex Numbers and Quadratic...

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon
61 L7 Complex Numbers and Quadratic Equations Complex Numbers The number i is a solution of the equation 2 1 x = − , that is, 2 1 i =− . Another solution of this equation is ( i ). The imaginary number i is called the imaginary unit . Complex numbers are numbers of the form ab i + , where a and b are real numbers. The real numbers a and b are called respectively the real part and imaginary part of the complex number i + . The form ai b + is the standard form of a complex number. A real number a can be written as 0 + , thus, the set of real numbers is a subset in the complex number system. Complex number bi is called a pure imaginary number . Equality of Complex Numbers : b ci d += + if and only if
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
62 Sum of Complex Numbers : () ai b ci d ++ + = Product of Complex Numbers : b d = Note: The product of complex numbers is easy to find by using FOIL and the fact that 2 1 i =− . Complex Conjugates : The complex conjugate of a number za b i = + is b i . Example : Write expressions in the standard form.
Background image of page 2
Image of page 3
This is the end of the preview. Sign up to access the rest of the document.

Page1 / 10

mac1147_lecture7_1_c - L7 Complex Numbers and Quadratic...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online