Question

pls tell this question​

Answer 1

Answer:

x^2+1/x^2=66

=> (x-1/x)^2+2.x.1/x=66

=> (x-1/x)^2+2=66

=> (x-1/x)^2=66-2

=> (x-1/x)^2=64

=> x-1/x=√64

=> x-1/x=+8 , -8

Answer 2

Answer:

8

Step-by-step explanation:

${x}^{2} + \frac{1}{ {x}^{2} } = 16 \\ \\ subtracting \: 2 \: from \: both \: the \: sides \\ \\ {x}^{2} + \frac{1}{ {x}^{2} } - 2 \: = 66 - 2 \\ \\ {x}^{2} + \frac{1}{ {x}^{2} } - 2= 64 \\ \\ since \: (x - \frac{1}{ {x}^{} } ) {}^{2} = {x }^{2} + \frac{1}{ {x}^{2} } - 2 \\ therefore\: (x - \frac{1}{ {x}^{} } ) {}^{2} = 64 \\ \\ x - \frac{1}{x} = 8$

HOPE YOU UNDERSTOOD THE SOLUTION ☺☺