1978 AHSME Problems/Problem 13
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Problem 13
If , and are non-zero numbers such that and are the solutions of and and are the solutions of , then equals
Solution
By Vieta's formulas, , , , and . From the equation , , and from the equation , , so .
Then from the equation , . Since is nonzero, we can divide both sides of the equation by to get . Similarly, from the equation , , so . Then . Therefore, . The answer is (B).
See Also
1978 AHSME (Problems • Answer Key • Resources) | ||
Preceded by Problem 12 |
Followed by Problem 14 | |
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