Question

a ^2+ 1 /a^ 2=27 then find the value a-1 /a​

Answer 1

a² +1/a² =27

(a)² + (1/a)² - 2.a.1/a = 27 - 2.a.1/a

(a-1/a)² =27-2

a-1/a=✓25

a-1/a=±5 (Answer)

Please mark it as the BRAINLIEST

Answer 2

Answer:

a-1/a=_+5

Step-by-step explanation:

−

x

1

We have,

(x−

x

1

)

2

=x

2

−2×x×

x

1

+

x

2

1

⇒(x−

x

1

)

2

=x

2

−2+

x

2

1

⇒(x−

x

1

)

2

=x

2

+

x

2

1

−2

⇒(x−

x

1

)

2

=27−2[∵x

2

+

x

2

1

=27 given]

⇒(x−

x

1

)

2

=25⇒(x−

x

1

)

2

⇒x−

x

1

=±5