Advanced MathEasy–MediumSum of opposite solutions
Advanced Math practice question
If (x − 5)(x + 5) = 0, what is the sum of all solutions to the equation?
Answer: 0
The solutions are x = 5 and x = −5. Their sum is 5 + (−5) = 0.
Common wrong answers
- If you answered 5
- 5 is one solution alone.
- If you answered 10
- 10 adds 5 and 5, missing the sign of the second solution (x + 5 = 0 gives x = −5).
- If you answered -25
- −25 is the PRODUCT of the solutions, not their sum.
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