Difference between revisions of "2021 Fall AMC 12B Problems/Problem 7"
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Just plug in all these options one by one, and one sees that all but <math>D</math> fails to satisfy the equation. | Just plug in all these options one by one, and one sees that all but <math>D</math> fails to satisfy the equation. |
Revision as of 23:31, 23 November 2021
Problem
Which of the following conditions is sufficient to guarantee that integers ,
, and
satisfy the equation
and
and
and
and
Solution 1
Plugging in every choice, we see that choice works.
We have , so
Our answer is
.
~kingofpineapplz
Solution 2 (Bash)
Just plug in all these options one by one, and one sees that all but fails to satisfy the equation.
For , substitute
and
:
Hence the answer is
~Wilhelm Z