Difference between revisions of "2021 JMPSC Invitationals Problems/Problem 1"
(Created page with "==Problem== The equation <math>ax^2 + 5x = 4,</math> where <math>a</math> is some constant, has <math>x = 1</math> as a solution. What is the other solution? ==Solution== asdf")
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Revision as of 15:21, 11 July 2021
The equation where is some constant, has as a solution. What is the other solution?
Since must be a solution, must be true. Therefore, . We plug this back in to the original quadratic to get . We can solve this quadratic to get . We are asked to find the 2nd solution so our answer is