Difference between revisions of "2021 JMPSC Invitationals Problems/Problem 1"
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− | #[[2021 JMPSC Invitationals Problems|Other 2021 JMPSC | + | #[[2021 JMPSC Invitationals Problems|Other 2021 JMPSC Invitationals Problems]] |
− | #[[2021 JMPSC Invitationals Answer Key|2021 JMPSC | + | #[[2021 JMPSC Invitationals Answer Key|2021 JMPSC Invitationals Answer Key]] |
#[[JMPSC Problems and Solutions|All JMPSC Problems and Solutions]] | #[[JMPSC Problems and Solutions|All JMPSC Problems and Solutions]] | ||
{{JMPSC Notice}} | {{JMPSC Notice}} |
Revision as of 17:29, 11 July 2021
Problem
The equation where
is some constant, has
as a solution. What is the other solution?
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
~Grisham
See also
- Other 2021 JMPSC Invitationals Problems
- 2021 JMPSC Invitationals Answer Key
- All JMPSC Problems and Solutions
The problems on this page are copyrighted by the Junior Mathematicians' Problem Solving Competition.