Algebra Pre-Algebra and Basic Algebra Math Forum

 December 12th, 2007, 08:47 PM #1 Senior Member   Joined: Apr 2007 Posts: 2,140 Thanks: 0 Second Degree Polynomials Student A and B were taking an math test in high school. They were solving for ax^2 + bx + c = 0. But, student A misread the coefficient a, and he arrived with the answer x = 1 + sqrt(6) and x = 1 - sqrt(6). The student B misread the coeffieicnt c, and he arrived with the answer x = -1/3 and x = 1. Using the information above, determine the actual roots (x = ...?) for ax^2 + bx + c = 0. December 12th, 2007, 10:20 PM #2 Global Moderator   Joined: Dec 2006 Posts: 21,132 Thanks: 2340 Since student A thought the equation was a multiple of x² − 2x − 5 = 0 and student B thought the equation was a multiple of 3x² − 2x − 1 = 0, the equation must have been a multiple of 3x² − 2x − 5 = 0, which has solutions x = −1 or 5/3. Tags degree, polynomials Thread Tools Show Printable Version Email this Page Display Modes Linear Mode Switch to Hybrid Mode Switch to Threaded Mode Similar Threads Thread Thread Starter Forum Replies Last Post HO-229 Algebra 2 August 3rd, 2011 06:00 PM Dlarahasle Calculus 6 May 18th, 2011 08:22 AM ElMarsh Linear Algebra 3 October 15th, 2009 05:14 PM jokerthief Algebra 5 October 6th, 2007 03:23 PM

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