EM-1633

Changing the subject of a formula

E Math · Secondary 4 · Hard · Changing the subject of a formula

It is given that

3(pq)^2 - 5pq = 2pq + 14

. Find

q

in terms of

p

.

$q=\dfrac{7+\sqrt{217}}{6p}$ or $q=\dfrac{7-\sqrt{217}}{6p}$
$q=\dfrac{2}{p}$ only
$q=\dfrac{7}{3p}$ or $q=-\dfrac{2}{p}$
$q=\dfrac{7}{p}$ or $q=-\dfrac{2}{3p}$

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