16Hit1600
Advanced MathVery hardThe single root when the discriminant is zero

Advanced Math practice question

The equation x² − 6x + c = 0, where c is a constant, has exactly one real solution. What is that solution?

Answer: 3

One solution means a perfect square: (x − 3)² = 0, so c = 9 and x = 3.

Common wrong answers

If you answered 6
6 is the sum of the two equal roots.
If you answered 9
9 is c, not the solution.
If you answered -3
−3 has the wrong sign; (x + 3)² would need +6x.

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