Algebraic Equations

Algebraic Equations

Copyright 2015 Demetrios P. Kanoussis

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Demetrios P. Kanoussis,

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Published by Golden Ratio Publications at Smashwords,

www.goldenratiopublications.com

First Edition, January 2015

ISBN: 9781310146190

Cover photo: ilco, stock.xchng

Cover design: Vicky Karistinou, GRP

Algebraic Equations

Brief Theory, Characteristic Examples, Challenging Problems

Table of Contents:

1. First and Second Degree (Quadratic) Equations

Examples 1-1 -- 1-6

PROBLEMS

2. Equations Reducible to Quadratic Equations

Examples 2-1 -- 2-7

PROBLEMS

3. General Properties of Algebraic Equations

Examples 3-1 -- 3-7

PROBLEMS

About the author

1. First and Second Degree (Quadratic) Equations

Algebraic or Polynomial Equations, is a vital part of Algebra, and have the general form, P (x) = 0 (1-1)

where P (x) is a polynomial of the variable x.

The coefficients of P(x), in the general case, can be real or complex numbers.

Root or simply solution of P (x) = 0 is a number r (real or complex), such