Advanced MathEasy–MediumOne solution of a factorable quadratic
Advanced Math practice question
The equation x² + 3x − 10 = 0 has two solutions. Which of the following is one of them?
- A. 2Correct
- B. 5
- C. −2
- D. 10
Answer: A. 2
Factor: x² + 3x − 10 = (x + 5)(x − 2), so the solutions are x = −5 and x = 2. Check: 4 + 6 − 10 = 0.
Why the other answers are wrong
- B. 5
- 5 gives 25 + 15 − 10 = 30, not 0. The solutions are −5 and 2; the signs matter.
- C. −2
- −2 gives 4 − 6 − 10 = −12, not 0.
- D. 10
- 10 is the constant term, not a solution: 100 + 30 − 10 = 120.
More Advanced Math questions
- Easy–Medium
If f(x) = 2x² − 3, what is f(4)? - Easy–Medium
Which expression is equivalent to (2x³)(3x⁴)? - Easy–Medium
What are the solutions to x² − 16 = 0? - Easy–Medium
Which expression is equivalent to (x + 5)²? - Easy–Medium
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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