2013 AMC 12B Problems/Problem 6
Problem
Real numbers and satisfy the equation . What is ?
Solution
If we complete the square after bringing the and terms to the other side, we get . Squares of real numbers are nonnegative, so we need both and to be . This obviously only happens when and .
See also
2013 AMC 12B (Problems • Answer Key • Resources) | |
Preceded by Problem 5 |
Followed by Problem 7 |
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All AMC 12 Problems and Solutions |