Question

Question 94 find the value of x

Answer 1

Answer:

u can find the answer without finding the value of x

use (x-1/x)² identity

(x-1/x)² = x² + 1/x² -2(x)(1/x)

(x-1/x)² = x² + 1/x² -2

(4√2)² +2 = x² + 1/x²

34 = x² +1/x²

now use (x+1/x)² identity

(x+1/x)² = x² +1/x² + 2(x)(1/x). put the value

(x+1/x)² = 34 +2

x + 1/x = 6