Question

if x+1/x=4 then find the value of x-1/x​

Answer 1

Answer:

x−

x

1

=4 (Given)

Squaring both sides, we have

(x−

x

1

)

2

=4

2

x

2

+

x

2

1

−2×x×

x

1

=16

⇒x

2

+

x

2

1

=16+2

⇒x

2

+

x

2

1

=18⟶eq

n

(i); (A)

eq

n

(i) can be written as-

(x+

x

1

)

2

−2=18

⇒(x+

x

1

)

2

=20

⇒x+

x

1

=±

20

=±2

5

; (B)

Squaring both sides in eq

n

(i), we have

(x

2

+

x

2

1

)

2

=(18)

2

x

4

+

x

4

1

+2×x

2

×

x

2

1

=324

⇒x

4

+

x

4

1

=324−2

⇒x

4

+

x

4

1

=322; (D)

Answer 2

Answer:

$2 \sqrt{3}$

Step-by-step explanation:

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