1954 AHSME Problems/Problem 20
Contents
[hide]Problem 20
The equation has:
Solution
By the rational root theorem, are possible rational roots. Because for , so there are no positive roots. We try , so , so there are no positive real roots;
Solution 2
Note that there are no sign changes (all coefficients of terms are positive), so by Descartes' rule of signs, there are no positive real roots, or .
See Also
1954 AHSC (Problems • Answer Key • Resources) | ||
Preceded by Problem 19 |
Followed by Problem 21 | |
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