Advanced MathMediumProduct from a sum and a sum of squares
Advanced Math practice question
If x + y = 7 and x² + y² = 29, what is the value of xy?
Answer: 10
(x + y)² = x² + 2xy + y² → 49 = 29 + 2xy → xy = 10.
Common wrong answers
- If you answered 20
- 20 is 2xy, before halving.
- If you answered 22
- 22 is 29 − 7, subtracting the sum instead of squaring it.
- If you answered -10
- −10 has the wrong sign.
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