1957 AHSME Problems/Problem 2
Problem
In the equation , the sum of the roots is and the product of the roots is . Then and have the values, respectively:
Solution
Let the roots of the given equation be and . Then, by Vieta's Formulas, we have the following: \begin{align*} \frac{h}{2} = r+s = 4 &\rightarrow h = 8 \\ \frac{2k}{2} = rs = -3 &\rightarrow k = -3 \\ \end{align*}
Thus, our answer is .
See also
1957 AHSC (Problems • Answer Key • Resources) | ||
Preceded by Problem 1 |
Followed by Problem 3 | |
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