Advanced MathMediumSum of the roots of a quadratic with a leading coefficient
Advanced Math practice question
What is the sum of the solutions of 2x² − 7x + 3 = 0?
Answer: 7/2 or 3.5
The solutions are 3 and 1/2 (from (2x − 1)(x − 3) = 0), and their sum is 7/2. (In general the sum is −b/a = 7/2.)
Common wrong answers
- If you answered 7
- 7 forgets to divide by the leading coefficient 2.
- If you answered -7/2
- −7/2 has the wrong sign; the sum is −b/a with b = −7.
- If you answered 3/2
- 3/2 is the product of the solutions (c/a).
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?
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