Question

if q^2 +1/q^2=3 find value of q+1/q​

Answer 1

Answer:

$q + \frac{1}{q} = \sqrt{5}$

Step-by-step explanation:

${(q + \frac{1}{q} )}^{2} = {q}^{2} + \frac{1}{ {q}^{2} } + 2q. \frac{1}{q} \\ = > {(q + \frac{1}{q} )}^{2} = 3 + 2 \\ = > {(q + \frac{1}{q} )}^{2} = 5 \\ = > q + \frac{1}{q} = \sqrt{5}$

Hope you have got it.

Answer 2

Answer:

${(q + \frac{1}{q} )}^{2} = {q}^{2} + \frac{1}{ {q}^{2} } + 2 \\ \\ \\ {(q + \frac{1}{q}) }^{2} = 3 + 2 = 5 \\ \\ (q + \frac{1}{q} ) = \sqrt{5}$