Question

If a+1/a=3 then find the value of a^2+1/a^2

Answer 1

Step-by-step explanation:

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

$to \: find \: \frac{ {a}^{2} + 1}{ {a}^{2} }$

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Answer 2

Step-by-step explanation:

a+1/a =3

a+1 = 3a

1=3a-a

1=2a

a=1/2

a²+1/a²= (1/2)²+1/ (1/2)²

(1/4)+1 / (1/4)

(1+4)/ 4 /(1/4)

(1+4)/4 × 4/1

5/4 × 4/1

5/1

5