Difference between revisions of "2011 AMC 12A Problems/Problem 18"
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== Problem == | == Problem == | ||
| + | Suppose that <math>\left|x+y\right|+\left|x-y\right|=2</math>. What is the maximum possible value of <math>x^2-6x+y^2</math>? | ||
| + | |||
| + | <math> | ||
| + | \textbf{(A)}\ 5 \qquad | ||
| + | \textbf{(B)}\ 6 \qquad | ||
| + | \textbf{(C)}\ 7 \qquad | ||
| + | \textbf{(D)}\ 8 \qquad | ||
| + | \textbf{(E)}\ 9 </math> | ||
| + | |||
== Solution == | == Solution == | ||
== See also == | == See also == | ||
{{AMC12 box|year=2011|num-b=17|num-a=19|ab=A}} | {{AMC12 box|year=2011|num-b=17|num-a=19|ab=A}} | ||
Revision as of 01:36, 10 February 2011
Problem
Suppose that 
. What is the maximum possible value of 
?
Solution
See also
| 2011 AMC 12A (Problems • Answer Key • Resources) | |
| Preceded by Problem 17 |
Followed by Problem 19 |
| 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 | |
