Difference between revisions of "1963 AHSME Problems/Problem 28"
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Latest revision as of 17:48, 7 June 2018
Problem
Given the equation with real roots. The value of for which the product of the roots of the equation is a maximum is:
Solution
By Vieta's Formulas, the product of the roots is . This value increases as increases.
Also, the quadratic’s roots are real, then the discriminant is greater than or equal to zero, so
Thus, the value that maximizes the product of the roots is , which is answer choice .
See Also
1963 AHSC (Problems • Answer Key • Resources) | ||
Preceded by Problem 27 |
Followed by Problem 29 | |
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All AHSME Problems and Solutions |
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