Advanced MathHardSum of the squares of two numbers from their sum and product
Advanced Math practice question
The sum of two numbers is 8 and their product is 13. What is the sum of the squares of the two numbers?
Answer: 38
x² + y² = (x + y)² − 2xy = 64 − 26 = 38.
Common wrong answers
- If you answered 51
- 51 subtracts xy once instead of twice.
- If you answered 64
- 64 is (x + y)², forgetting to subtract 2xy.
- If you answered 90
- 90 adds 2xy instead of subtracting.
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