Difference between revisions of "2006 AMC 12B Problems/Problem 2"
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== Problem == | == Problem == | ||
+ | For real numbers <math>x</math> and <math>y</math>, define <math>x\spadesuit y = (x + y)(x - y)</math>. What is <math>3\spadesuit(4\spadesuit 5)</math>? | ||
+ | |||
+ | <math>\text {(A) } - 72 \qquad \text {(B) } - 27 \qquad \text {(C) } - 24 \qquad \text {(D) } 24 \qquad \text {(E) } 72</math> | ||
== Solution == | == Solution == | ||
+ | <math>4\spadesuit 5=-9</math> | ||
+ | |||
+ | <math>3\spadesuit -9=-72 \Rightarrow \text{(A)}</math> | ||
== See also == | == See also == | ||
− | + | {{AMC12 box|year=2006|ab=B|num-b=1|num-a=3}} | |
+ | {{MAA Notice}} |
Latest revision as of 09:44, 4 July 2013
Problem
For real numbers and , define . What is ?
Solution
See also
2006 AMC 12B (Problems • Answer Key • Resources) | |
Preceded by Problem 1 |
Followed by Problem 3 |
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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