1986 AIME Problems/Problem 1
Problem
What is the sum of the solutions to the equation ?
Solution
Let . Then we have
, or, by simplifying,
.
This means that
or
.
Thus the sum of the possible solutions for
is
, the answer.
What is the sum of the solutions to the equation ?
Let . Then we have
, or, by simplifying,
.
This means that
or
.
Thus the sum of the possible solutions for
is
, the answer.
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