Question

p+q=10 & pq=5 than p/q+q/p=?

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Answer 1

Given- p+q=10 and pq=5

To find -

$\frac{p}{q} + \frac{q}{p}$

Solution -

$= \frac{p}{q} + \frac{q}{p}$

$= \frac{ {p}^{2} + {q}^{2} }{pq}$

$= \frac{ {(p + q)}^{2} - 2pq}{pq}$

$= \frac{ {(10)}^{2} - 2 \times 5 }{5}$

$= \frac{100 - 10}{5}$

$= \frac{90}{5}$

$= 18$

Formula used here -

1)a²+b²=(a+b) ²-2ab