Advanced MathMediumValue of a ratio of squares under a proportional relation
Advanced Math practice question
If y = 3x and x ≠ 0, what is the value of (x + y)²/x²?
Answer: 16
(x + 3x)² / x² = (4x)² / x² = 16x²/x² = 16.
Common wrong answers
- If you answered 4
- 4 is (x + y)/x, forgetting to square.
- If you answered 9
- 9 is y²/x².
- If you answered 10
- 10 is (x² + y²)/x², treating (x + y)² as x² + y².
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