2021 AMC 12A Problems/Problem 7
Contents
Problem
What is the least possible value of for real numbers
and
?
Solution
Expanding, we get that the expression is or
. By the trivial inequality the minimum value for this is
, which can be achieved at
. ~aop2014
Note
See problem 1.
See also
2021 AMC 12A (Problems • Answer Key • Resources) | |
Preceded by Problem 6 |
Followed by Problem 8 |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | |
All AMC 12 Problems and Solutions |
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