Advanced MathEasy–MediumPositive root of a trinomial
Advanced Math practice question
What is the positive value of x that satisfies x² − 3x − 10 = 0?
Answer: 5
Factor: (x − 5)(x + 2) = 0, so x = 5 or x = −2. The positive one is 5. Check: 25 − 15 − 10 = 0.
Common wrong answers
- If you answered 2
- 2 has the wrong sign; x + 2 = 0 gives x = −2.
- If you answered 10
- 10 is the constant term; x = 10 gives 100 − 30 − 10 = 60.
- If you answered -2
- −2 is the other solution, which is negative.
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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