EM-1519

Changing the subject of a formula

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

It is given that

2(pq)^2 - 2pq = 3pq + 6

. Find

q

in terms of

p

.

$q = \dfrac{5+\sqrt{73}}{4p}$ or $q = \dfrac{5-\sqrt{73}}{4p}$
$q = -\dfrac{3}{p}$ or $q = \dfrac{1}{p}$
$q = -\dfrac{3}{2p}$ only
$q = \dfrac{2}{p}$ only

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