1974 AHSME Problems/Problem 2
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Problem
Let and
be such that
and
,
. Then
equals
Solution
Notice that and
are the distinct solutions to the quadratic
. By Vieta, the sum of the roots of this quadratic is the negation of the coefficient of the linear term divided by the coefficient of the quadratic term, so in this case
.
See Also
1974 AHSME (Problems • Answer Key • Resources) | ||
Preceded by Problem 1 |
Followed by Problem 3 | |
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