Difference between revisions of "University of South Carolina High School Math Contest/1993 Exam/Problem 12"
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<math>(2)</math> <math>x^{2}-4x+3=0</math> | <math>(2)</math> <math>x^{2}-4x+3=0</math> | ||
− | Thus, we know that <math>(a,b,c,d)=(-3,2,-4,3)</math> and our answer | + | Thus, we know that <math>(a,b,c,d)=(-3,2,-4,3)</math> and our answer choice must equal <math>3</math>. The answer is <math>(a)</math>. |
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Latest revision as of 13:14, 12 October 2007
Problem
If the equations and have exactly one root in common, and then the other root of equation is
Solution
Let have roots and have roots . Thus:
Thus, we know that and our answer choice must equal . The answer is .