16Hit1600
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

Not affiliated with the College Board. SAT is a trademark of the College Board.