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April 21st, 2013, 10:39 AM  #1 
Senior Member Joined: Sep 2011 Posts: 395 Thanks: 0  Sum & Product of the Roots of a Quadratic Equation
My answer seems relatively close to that of the text book. Can anyone see where I've gone wrong, or does the books answer contain a typo? Many thanks. Q. If & are the roots of the equation , form the equation whose roots are & . Attempt: Sum of Roots: ...(where Product of Roots: ...(where (From text book 
April 21st, 2013, 11:39 AM  #2 
Math Team Joined: Apr 2010 Posts: 2,778 Thanks: 361  Re: Sum & Product of the Roots of a Quadratic Equation
the answer is (2(x5)^2(x5)4) = 2x^221x+51 = 0. 2x^221x+51 isn't an equation so the answer from the textbook is wrong. 
April 21st, 2013, 12:55 PM  #3  
Math Team Joined: Dec 2006 From: Lexington, MA Posts: 3,267 Thanks: 407  Re: Sum & Product of the Roots of a Quadratic Equation Hello, bilano99! Quote: [color=beige]. . . . . . [/color] [color=beige]. . . . . . [/color] [color=beige]. . . . . [/color] [color=beige]. . . . . . . . . . . . . . . . . [/color] [color=beige]. . . . . . . . . . . . . . . . [/color]  
April 21st, 2013, 01:22 PM  #4 
Senior Member Joined: Sep 2011 Posts: 395 Thanks: 0  Re: Sum & Product of the Roots of a Quadratic Equation
Thank you very much.

April 21st, 2013, 02:22 PM  #5 
Global Moderator Joined: Oct 2008 From: London, Ontario, Canada  The Forest City Posts: 7,659 Thanks: 964 Math Focus: Elementary mathematics and beyond  Re: Sum & Product of the Roots of a Quadratic Equation 
April 21st, 2013, 07:08 PM  #6  
Global Moderator Joined: Dec 2006 Posts: 18,241 Thanks: 1438  Re: Sum & Product of the Roots of a Quadratic Equation Quote:
The required equation is 2(x  5)²  (x  5)  4 = 0, i.e., 2x²  21x + 51 = 0.  

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