16Hit1600
Advanced MathVery hardDifference of two numbers from their sum and the sum of their squares

Advanced Math practice question

If x² + y² = 25 and x + y = 7, what is the value of |x − y|?

Answer: 1

(x − y)² = 2(x² + y²) − (x + y)² = 50 − 49 = 1, so |x − y| = 1. (The numbers are 3 and 4.)

Common wrong answers

If you answered 7
7 is x + y.
If you answered 24
24 is 2xy.
If you answered -1
−1 is not an absolute value.

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