16Hit1600
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.

More Advanced Math questions

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