Advanced MathHardSum of the solutions of a quadratic with a ≠ 1
Advanced Math practice question
What is the sum of the solutions to 2x² − x − 15 = 0?
Answer: 1/2 or 0.5
Factor: (2x + 5)(x − 3) = 0, so x = 3 or x = −5/2. Sum: 1/2. (Or −b/a = 1/2 directly.)
Common wrong answers
- If you answered 1
- 1 uses −b without dividing by a = 2.
- If you answered 3
- 3 is one root alone.
- If you answered -1/2
- −1/2 has the wrong sign; the sum of roots is −b/a = −(−1)/2.
More Advanced Math questions
- Hard
A population of bacteria doubles every 3 hours. If it starts at 500, which function models the population P af… - Hard
How many real solutions does x² + 4x + 5 = 0 have? - Hard
A car worth $20,000 loses 15% of its value each year. What is its value after 2 years? - Hard
An investment of $1,000 grows at 6% per year, compounded annually. Which expression gives its value after t ye… - Hard
If f(x) = x² − 1 and g(x) = x + 2, what is g(f(3))? - Hard
The parabola y = x² − 8x + 12 crosses the x-axis at two points. What is the x-coordinate of the vertex?
Not affiliated with the College Board. SAT is a trademark of the College Board.