
Algebra PreAlgebra and Basic Algebra Math Forum 
 LinkBack  Thread Tools  Display Modes 
October 2nd, 2011, 08:03 AM  #1 
Newbie Joined: Oct 2011 Posts: 10 Thanks: 0  Solutions of the equation
1. Determine all the solutions of (x^2+3x4)^3 + (2x^25x+3)^3 + (3x^22x1)^3. Pretty tough one...I can't get it..Pls help.. Also try this one viewtopic.php?f=13&t=23598...Thnx.. 
October 2nd, 2011, 08:16 AM  #2 
Senior Member Joined: May 2008 From: York, UK Posts: 1,300 Thanks: 0  Re: Solutions of the equation
Try factorising each of the cubed quadratic terms into the product of two cubed linear terms  i.e. write each term in the form  and see if that helps you at all

October 2nd, 2011, 08:26 AM  #3  
Newbie Joined: Oct 2011 Posts: 10 Thanks: 0  Re: Solutions of the equation Quote:
How to proceed afterwards???? Shall I open all the brackets or is there any one to simplify first? Also as you see it has come to a factorised form, are there only two factors or will there be more?  
October 2nd, 2011, 09:31 AM  #4 
Senior Member Joined: May 2008 From: York, UK Posts: 1,300 Thanks: 0  Re: Solutions of the equation
Once you've got the factor of I would suggest expanding the rest into one cubic and using either trial division or the rational root theorem to try and find the other roots.

October 2nd, 2011, 10:35 AM  #5  
Math Team Joined: Dec 2006 From: Lexington, MA Posts: 3,267 Thanks: 407  Re: Solutions of the equation Hello, mathswizard! You didn't give us an equation. I'll assume that the polynomials is set equal to zero. Quote:
Note that all the terms can be factored: [color=beige]. . . .[/color] [color=beige]. . [/color] [color=beige]. . . . . . . . . . .[/color] [color=beige]. . . . . . . [/color] [color=beige]. . . . . . . . . . . . . . . . . . .[/color] [color=beige]. . . . . . . . . . . . . . . . . . .[/color] [color=beige]. . . . . . . . . . . . . . . . . . . . . . . . . . .[/color]  
October 3rd, 2011, 03:41 AM  #6 
Newbie Joined: Oct 2011 Posts: 10 Thanks: 0  Re: Solutions of the equation
Thanks @soroban. Nice solution!! 

Tags 
equation, solutions 
Search tags for this page 
Click on a term to search for related topics.

Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
How many solutions to an equation  raycol1970  Algebra  3  April 14th, 2012 02:03 PM 
How many solutions are there to the equation?  Solarmew  Applied Math  12  November 21st, 2011 05:01 PM 
Solutions to the equation  jakeward123  Calculus  5  June 3rd, 2011 12:17 AM 
Solutions to an equation  rebecca  Calculus  3  July 31st, 2010 05:35 AM 
How many solutions to an equation  raycol1970  Applied Math  1  December 31st, 1969 04:00 PM 