Difference between revisions of "1986 AIME Problems/Problem 2"
Bluebacon008 (talk | contribs) (→Solution) |
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:<math>= (13 + 2\sqrt{42} - 5)(5 - (13 - 2\sqrt{42}))</math> | :<math>= (13 + 2\sqrt{42} - 5)(5 - (13 - 2\sqrt{42}))</math> | ||
:<math>= (2\sqrt{42} + 8)(2\sqrt{42} - 8)</math> | :<math>= (2\sqrt{42} + 8)(2\sqrt{42} - 8)</math> | ||
− | :<math>= (2\sqrt{42})^2 - 8^2 = 104</math> | + | :<math>= (2\sqrt{42})^2 - 8^2 =</math> <math>\boxed{104}</math> |
== See also == | == See also == |
Revision as of 19:17, 24 February 2018
Problem
Evaluate the product .
Solution
Simplify by repeated application of the difference of squares.
See also
1986 AIME (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 | ||
All AIME Problems and Solutions |
- AIME Problems and Solutions
- American Invitational Mathematics Examination
- Mathematics competition resources
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.