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September 11th, 2013, 04:27 PM  #1 
Member Joined: Sep 2013 Posts: 58 Thanks: 0  Math Homework Help "Extend and Challenge" Questions
Hey, I'd really appreciate help on these questions and how to solve them. For the first one, I had no idea how to do it (Q#13). On the second one, this is what I got up too (Q#14). 1. Cube each Side  m+9 = 27 + 27THIRDROOTOF(m9) + 9(2/3)ROOTOF(m9) + m9 2. Rearrange and Sub x for THIRDROOTOF(m9)  0=9+27x+9x^2 3. Divide both sides by 9 0 = 1 + 3x + x^2 4. (Here I got lost so I just tried to do stuff to help me out.) 0 = 1 + 3x +x^2 x +x 0 = 1 + 2x + x^2 + x 0 = (1+x)^2 + x http://img194.imageshack.us/img194/1097/kvgc.jpg 
September 11th, 2013, 05:32 PM  #2 
Global Moderator Joined: Oct 2008 From: London, Ontario, Canada  The Forest City Posts: 7,842 Thanks: 1068 Math Focus: Elementary mathematics and beyond  Re: Math Homework Help "Extend and Challenge" Questions 
September 11th, 2013, 07:38 PM  #3  
Math Team Joined: Dec 2006 From: Lexington, MA Posts: 3,267 Thanks: 407  Re: Math Homework Help "Extend and Challenge" Questions Hello, Tzad! Quote: [color=beige]. . . . . . . . [/color] [color=beige]. . . . . . . . [/color]  
September 13th, 2013, 02:14 PM  #4  
Member Joined: Sep 2013 Posts: 58 Thanks: 0  Re: Math Homework Help "Extend and Challenge" Questions Quote:
I wanted to know what you did between steps 4 and 5. Thanks, Tzad  
September 13th, 2013, 02:17 PM  #5 
Global Moderator Joined: Oct 2008 From: London, Ontario, Canada  The Forest City Posts: 7,842 Thanks: 1068 Math Focus: Elementary mathematics and beyond  Re: Math Homework Help "Extend and Challenge" Questions Does that help? 
September 13th, 2013, 05:59 PM  #6  
Global Moderator Joined: Dec 2006 Posts: 19,293 Thanks: 1684  Quote:
x³(3 + x)³ = 1 (m  9)(m + 9) = 1 m² = 81  1 = 80 m = 4?5  
September 14th, 2013, 10:32 AM  #7 
Math Team Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 12,912 Thanks: 883  Re: Math Homework Help "Extend and Challenge" Questions To Greg and Skip....I'm confused and hope to learn something here... I followed your work to arrive at m = 4SQRT(5), but that I'm quite sure is not the solution for the above equation... http://www.wolframalpha.com/input/?i=%2 ... ++3+%3D+0 So what did I miss? Thanks guys! 
September 14th, 2013, 12:43 PM  #8  
Member Joined: Sep 2013 Posts: 58 Thanks: 0  Re: Math Homework Help "Extend and Challenge" Questions Quote:
It helped me a lot.  
September 14th, 2013, 12:51 PM  #9  
Global Moderator Joined: Oct 2008 From: London, Ontario, Canada  The Forest City Posts: 7,842 Thanks: 1068 Math Focus: Elementary mathematics and beyond  Re: Math Homework Help "Extend and Challenge" Questions Quote:
 
September 14th, 2013, 12:59 PM  #10  
Member Joined: Sep 2013 Posts: 58 Thanks: 0  Re: Math Homework Help "Extend and Challenge" Questions Quote:
What is your paypal email?  

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