16Hit1600
Advanced MathHardSum of two variables from a sum of squares equal to zero

Advanced Math practice question

If (x − 4)² + (y + 1)² = 0, what is the value of x + y?

Answer: 3

A sum of two squares is 0 only when both squares are 0, so x = 4 and y = −1, and x + y = 3.

Common wrong answers

If you answered 0
0 confuses the sum of squares with x + y.
If you answered 5
5 uses y = 1.
If you answered -3
−3 has both signs wrong.

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