Question

39. If a+1/a=3, the find the value of a²+1/a² ? : (a)a2+1/a=9-2=7 . (b)a²+2/a2=6-2-4 (c)a+1/a=3-2=1 (d)a⁴ 1/a4=9-7=2​

Answer 1

Step-by-step explanation:

According to the question,

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

a+1=3a

1=2a

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

Subs value of a in the eqn,

 $\frac{a^{2}+1}{a^{2}}= \frac{(1/2)^{2}+1}{(1/2)^{2}} =\frac{(1/4) +1}{1/4} = \frac{5/4}{1/4} = \frac{5}{1} = 5$