NECO 2024 · Paper 1 · Q30

Quadratics & their graphs

Find the sum of the roots of the quadratic equation $x^2 - 5x + 6 = 0$ .

Worked solution (try it first)

For $ax^2 + bx + c = 0$ , the sum of the roots is $-\frac ba$ .
Here $a = 1$ and $b = -5$ , so the sum is $-\frac{-5}{1} = 5$ .
Check: $(x - 2)(x - 3) = 0$ gives roots 2 and 3, which add to 5.
So the answer is option B.

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