Question

If x²- 5x = 1 then find the value of (x+1/x)²

please help me to find the answer :(​

Answer 1

Answer:

27

According to question,

x

2

−5x−1=0

⟹x

2

−1=5x

⟹x−

x

1

=5

Squaring both sides we get,

⟹(x−

x

1

)

2

=25

⟹x

2

+

x

2

1

−2=25

⟹x

2

+

x

2

1

=27

Answer 2

Answer:

x^2-5x=1

=> x^2-1=5x

=> x^2/x-1/x=5x/x

=> x-1/x=5

=> (x-1/x)^2=5^2=25

=> (x+1/x)^2-4.x.1/x=25

=> (x+1/x)^2=25+4=29