Advanced MathEasy–MediumSum of all solutions of a quadratic with a zero root
Advanced Math practice question
If x² = 7x, what is the sum of all solutions of the equation?
Answer: 7
x² − 7x = 0 → x(x − 7) = 0 → x = 0 or x = 7. The sum is 7.
Common wrong answers
- If you answered 0
- 0 is one solution, but there are two.
- If you answered 14
- 14 doubles the nonzero root.
- If you answered 49
- 49 is 7², from x = 7 squared.
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For x ≠ 0, which expression is equivalent to (x² + 3x) / x? - Easy–Medium
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