Advanced MathEasy–MediumSum of the solutions of a factored product
Advanced Math practice question
The equation (x + 1)(x − 3) = 5 has two solutions. What is their sum?
Answer: 2
x² − 2x − 3 = 5 gives x² − 2x − 8 = (x − 4)(x + 2) = 0, so the solutions 4 and −2 sum to 2.
Common wrong answers
- If you answered 4
- 4 is the other solution.
- If you answered -2
- −2 is one solution.
- If you answered -8
- −8 is the product of the solutions.
More Advanced Math questions
- Easy–Medium
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For x ≠ 0, which expression is equivalent to (x² + 3x) / x? - Easy–Medium
What are the solutions to the equation 2(x − 3)² − 32 = 0 ?
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