2022 AMC 10B Problems/Problem 5
Contents
Problem
What is the value of
Solution 1 (Difference of Squares)
We apply the difference of squares to the denominator, and then regroup factors: ~MRENTHUSIASM
Solution 2 (Brute Force)
Since these numbers are fairly small, we can use brute force as follows: ~not_slay
Solution 3 (Brute Force)
This solution starts precisely like the one above. We simplify to get the following:
But now, we can get a nice simplification as shown:
~TaeKim
~minor edits by mathboy100
Video Solution (⚡️2 min solution⚡️)
~Education, the Study of Everything
Video Solution by Interstigation
https://youtu.be/_KNR0JV5rdI?t=470
See Also
2022 AMC 10B (Problems • Answer Key • Resources) | ||
Preceded by Problem 4 |
Followed by Problem 6 | |
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 10 Problems and Solutions |
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