1983 AHSME Problems/Problem 20
Problem 20
If and are the roots of , and and are the roots of , then is necessarily
Solution
By Vieta's Formulae, we have and . Recalling that , we have .
Also by Vieta's Formulae, we have and , and again using , we have . Using and , we therefore deduce that , which yields .
Thus, the answer is .
See Also
1983 AHSME (Problems • Answer Key • Resources) | ||
Preceded by Problem 19 |
Followed by Problem 21 | |
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