Advanced MathHardSum of squares from sum and product
Advanced Math practice question
Two numbers have a sum of 6 and a product of 8. What is the sum of their squares?
Answer: 20
x² + y² = (x + y)² − 2xy = 36 − 16 = 20. (The numbers are 2 and 4.)
Common wrong answers
- If you answered 28
- 28 subtracts xy once instead of twice.
- If you answered 36
- 36 is (x + y)², forgetting to subtract 2xy.
- If you answered 52
- 52 adds 2xy instead of subtracting.
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