1971 AHSME Problems/Problem 20
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Problem
The sum of the squares of the roots of the equation is
. The absolute value of
is equal to
Solution
We can rewrite the equation as By Vieta's Formulas, the sum of the roots is
and the product of the roots is
Let the two roots be and
Note that
Therefore, and
This doesn't match any of the answer choices, so the answer is
-edited by coolmath34
See Also
1971 AHSC (Problems • Answer Key • Resources) | ||
Preceded by Problem 19 |
Followed by Problem 21 | |
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All AHSME Problems and Solutions |
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