1980 AHSME Problems/Problem 24
Problem
For some real number , the polynomial is divisible by . Which of the following numbers is closest to ?
Solution
Solution by e_power_pi_times_i
Denote as the third solution. Then, by Vieta's, , , and . Multiplying the top equation by and eliminating, we have . Combined with the fact that , the third equation can be written as , or . Solving, we get . Plugging the solutions back in, we see that is an extraneous solution, and thus the answer is
See also
1980 AHSME (Problems • Answer Key • Resources) | ||
Preceded by Problem 23 |
Followed by Problem 25 | |
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