Discussion

Explanation:

3p² – 7pq + 2q² = 0

Dividing the whole equation with q².

$3{\left(\frac{p}{q}\right)}^2-7\left(\frac{p}{q}\right)+2=0$

Let p/q = t

⇒ 3t² – 7t + 2 = 0

Splitting the middle term.

⇒ 3t² – 6t - t + 2 = 0

⇒ 3t(t – 2) - (t - 2) = 0

⇒ (3t - 1)(t - 2)= 0

⇒ t = p/q = 1/3 or 2.

Hence, option (b).

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