16Hit1600
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.

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