16Hit1600
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).

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