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Question: Solve $x^2 - 5x + 6 = 0$
Step-by-Step Solution:
$$x^2 - 5x + 6 = 0$$
$$(x - 2)(x - 3) = 0$$
$$\boxed{x = 2 \quad \text{or} \quad x = 3}$$
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Question: A car accelerates from rest at $2 \text{ m/s}^2$ for 5 seconds. Calculate the distance travelled.
Step-by-Step Solution:
$$s = ut + \frac{1}{2}at^2$$
$$s = 0 \times 5 + \frac{1}{2} \times 2 \times 5^2$$
$$s = 0 + 1 \times 25$$
$$\boxed{s = 25 \text{ m}}$$
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