1965 AHSME Problems/Problem 7
Contents
[hide]Problem
The sum of the reciprocals of the roots of the equation is:
Solution 1
Using Vieta's formulas, we can write the sum of the roots of any quadratic equation in the form as , and the product as .
If and are the roots, then the sum of the reciprocals of the roots is .
Applying the formulas, we get , or => .
Solution 2
Let . has roots and , and so has roots and . Because , by Vieta's formulas, , which is answer choice .
See Also
1965 AHSC (Problems • Answer Key • Resources) | ||
Preceded by Problem 6 |
Followed by Problem 8 | |
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