16Hit1600
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.

More Advanced Math questions

Not affiliated with the College Board. SAT is a trademark of the College Board.