Difference between revisions of "2017 AMC 8 Problems/Problem 21"
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Revision as of 15:21, 16 September 2020
Problem 21
Suppose , , and are nonzero real numbers, and . What are the possible value(s) for ?
Solution 1
There are cases to consider:
Case : of , , and are positive and the other is negative. WLOG, we can assume that and are positive and is negative. In this case, we have that
Case : of , , and are negative and the other is positive. Without loss of generality, we can assume that and are negative and is positive. In this case, we have that
In both cases, we get that the given expression equals .
Video Solution
https://youtu.be/V9wCBTwvIZo - Happytwin
See Also
2017 AMC 8 (Problems • Answer Key • Resources) | ||
Preceded by Problem 20 |
Followed by Problem 22 | |
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 AJHSME/AMC 8 Problems and Solutions |
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