Advanced MathEasy–MediumSum of the roots of a factorable quadratic
Advanced Math practice question
If x² − 7x + 12 = 0, what is the sum of the two solutions to the equation?
Answer: 7
Factor: (x − 3)(x − 4) = 0, so x = 3 or x = 4. Their sum is 7. (For x² + bx + c = 0 the roots always sum to −b.)
Common wrong answers
- If you answered 1
- 1 is 4 − 3, the difference of the roots.
- If you answered 12
- 12 is the PRODUCT of the roots (3 × 4), which equals the constant term.
- If you answered -7
- −7 is b itself; the sum of the roots is −b = 7.
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 ?
Not affiliated with the College Board. SAT is a trademark of the College Board.