1978 AHSME Problems/Problem 13
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Problem 13
If , and
are non-zero numbers such that
and
are the solutions of
and
and
are
the solutions of
, then
equals
Solution
By Vieta's formulas, ,
,
, and
. From the equation
,
, and from the equation
,
, so
.
Then from the equation ,
. Since
is nonzero, we can divide both sides of the equation by
to get
. Similarly, from the equation
,
, so
. Then
. Therefore,
. The answer is (B).
See Also
1978 AHSME (Problems • Answer Key • Resources) | ||
Preceded by Problem 12 |
Followed by Problem 14 | |
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