Advanced MathMediumPositive root of a quadratic in words
Advanced Math practice question
The square of a positive number, added to five times the number, equals 24. What is the number?
Answer: 3
n² + 5n − 24 = (n + 8)(n − 3) = 0, so n = 3.
Common wrong answers
- If you answered 4
- 4 gives 16 + 20 = 36.
- If you answered 24
- 24 copies the constant.
- If you answered -8
- −8 is the negative root.
More Advanced Math questions
- Medium
What are the solutions to x² − 5x + 6 = 0? - Medium
The graph of f(x) = (x − 3)² + 4 is a parabola. What are the coordinates of its vertex? - Medium
If x² − 2x − 8 = (x + 2)(x − a), what is the value of a? - Medium
If √(x + 5) = 4, what is the value of x? - Medium
If f(x) = x + 3 and g(x) = 2x, what is f(g(4))? - Medium
What are the solutions to x² + 6x + 8 = 0?
Not affiliated with the College Board. SAT is a trademark of the College Board.