Difference between revisions of "University of South Carolina High School Math Contest/1993 Exam/Problem 12"
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Thus, we know that <math>(a,b,c,d)=(-3,2,-4,3)</math> and our answer coice must equal <math>3</math>. The answer is <math>(a)</math>. | Thus, we know that <math>(a,b,c,d)=(-3,2,-4,3)</math> and our answer coice must equal <math>3</math>. The answer is <math>(a)</math>. | ||
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[[Category:Intermediate Algebra Problems]] | [[Category:Intermediate Algebra Problems]] |
Revision as of 12:22, 23 July 2006
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 coice must equal . The answer is .