AM-1149

Binomial expansion

A Math · Secondary 4 · Hard · Binomial expansion

The first two non-zero terms in the expansion of

(1+px)(1+qx)^5

in ascending powers of

x

are

1

and

-\dfrac{9}{2}x^2

. Given that

p<q

, find the value of

q

.

$\sqrt{\dfrac3{10}}$
$-\sqrt{\dfrac3{10}}$
$\sqrt{\dfrac{10}3}$
$\dfrac{3}{10}$

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