Home
Math symbols
Jokes
Forum
About us
Links
Contact us
Site map
Search The Site
   
   Program of Lessons
 
 Study Guide
 Topics of problems
 Tests & exams
www.bymath.com Study Guide - Arithmetic Study Guide - Algebra Study Guide - Geometry Study Guide - Trigonometry Study Guide - Functions & Graphs Study Guide - Principles of Analysis Study Guide - Sets Study Guide - Probability Study Guide - Analytic Geometry Select topic of problems Select test & exam Rules Price-list Registration

Solution of a quadratic equation

Formulas for solution of non-reduced
and reduced quadratic equation.

In general case of a non-reduced quadratic equation:

 

ax 2 + bx + c = 0 ,

 

its roots are found by the formula:

If to divide all terms of a non-reduced quadratic equation by  a (is it possible ?),  and to sign  b / a = p  and  c / a = q , then we’ll receive the reduced quadratic equation:

x 2 + px + q = 0 ,

roots of which are calculated by the formula:
                                                       


E x a m p l e .   x 2 + 5x + 6 = 0 .  Here  p = 5,  q = 6. Then we have: 

                                                                               

                              

                        hence,   x1= – 5 / 2  + 1 / 2  = – 2 ,    x2 = – 5 / 2 – 1 / 2 = 3

Back


| Home | About us | Links | Contact us |

Copyright © 2002-2012 Dr. Yury Berengard.  All rights reserved.