16Hit1600
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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