Question

If( x-1/x)= 7 find the value of x²+1/x²​

Answer 1

Answer:

Sol: x +

1

x

1x = 7 ⇒ (x +

1

x

1x)2 =(7)2 ⇒ (x2+

1

x

2

1x2+ 2) = 49 ⇒ x2+

1

x

2

1x2 = 47 Therefore, x2+

1

x

2

1x2 = 47.