Difference between revisions of "2021 JMPSC Invitationals Problems/Problem 1"
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==See also== | ==See also== | ||
| − | #[[2021 JMPSC Sprint Problems|Other 2021 JMPSC | + | #[[2021 JMPSC Sprint Problems|Other 2021 JMPSC Invitational Problems]] |
| − | #[[2021 JMPSC Sprint Answer Key|2021 JMPSC | + | #[[2021 JMPSC Sprint Answer Key|2021 JMPSC Invitational 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 16:25, 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 Invitational Problems
- 2021 JMPSC Invitational Answer Key
- All JMPSC Problems and Solutions
The problems on this page are copyrighted by the Junior Mathematicians' Problem Solving Competition. 
