1961 AHSME Problems/Problem 29
Contents
[hide]Problem
Let the roots of be and . The equation with roots and is:
Solution
From Vieta's Formulas, and in the original quadratic.
The sum of the roots in the new quadratic is The product of the roots in the new quadratic is Thus, the new quadratic is . The answer is .
Solution 2
Let and be the desired function with roots and . Applying graphical transformations, we have Thus and are the roots to Plugging into gets .
~ Nafer
See Also
1961 AHSC (Problems • Answer Key • Resources) | ||
Preceded by Problem 28 |
Followed by Problem 30 | |
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