1975 AHSME Problems/Problem 5
Problem
The polynomial is expanded in decreasing powers of . The second and third terms have equal values when evaluated at and , where and are positive numbers whose sum is one. What is the value of ?
Solution
Solution by e_power_pi_times_i
The second and third term of is and , respectively. For them to be equal when , . For them to be equal when , . Then , so , which simplifies to . Since , .
See Also
1975 AHSME (Problems • Answer Key • Resources) | ||
Preceded by Problem 4 |
Followed by Problem 6 | |
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