Question

If a+1/a=3 then a/2+1/a ??​

Answer 1

$\frac{a+1}{a}=3$

$a+1=3a$

$2a=1$

$a=\frac{1}{2}$

To Find;

$\frac{a}{2}+\frac{1}{a}$

$= \frac{a^{2}+2 }{2a}$

Putting value of a in above equation we get;

$\frac{a^{2}+2 }{2a}=\frac{9}{4}$

Hope it helps.