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December 12th, 2007, 08:47 PM   #1
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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.
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December 12th, 2007, 10:20 PM   #2
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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.
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