Difference between revisions of "2002 AMC 10A Problems/Problem 10"
(New page: == Problem == What is the sum of all of the roots of <math>(2x + 3) (x - 4) + (2x + 3) (x - 6) = 0</math>? <math>\text{(A)}\ 7/2 \qquad \text{(B)}\ 4 \qquad \text{(C)}\ 5 \qquad \text{(D...) |
(No difference)
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Revision as of 22:28, 26 December 2008
Problem
What is the sum of all of the roots of ?
Solution
We expand to get which is after combining like terms. Using the quadratic part of Vieta's Formulas, we find the sum of the roots is .