Advanced MathMediumEvaluating a related expression after solving
Advanced Math practice question
If x² − 2x = 15 and x > 0, what is the value of x² + 2x?
Answer: 35
x² − 2x − 15 = 0 → (x − 5)(x + 3) = 0 → x = 5. Then x² + 2x = 25 + 10 = 35.
Common wrong answers
- If you answered 3
- 3 comes from x = −3, which is not positive.
- If you answered 5
- 5 is x, not x² + 2x.
- If you answered 15
- 15 is the given value of x² − 2x.
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