1962 AHSME Problems/Problem 19
Problem
If the parabola passes through the points , , and , the value of is:
Solution
Substituting in the pairs gives the following system of equations: We know , so plugging this in reduces the system to two variables: Dividing the second equation by 2 gives , which can be added to the first equation to get , or . So the solution set is , and the sum is .
See Also
1962 AHSC (Problems • Answer Key • Resources) | ||
Preceded by Problem 18 |
Followed by Problem 20 | |
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