Question

What is the value of x^6 if (x+1/x)² = 3?​

Answer 1

Answer:

( x + 1 / x ) ²

Use identity

( a / b ) ² = a² / b²

( x + 1 ) ² = x² / 1²

========> x² / 1 = ( x )6

========> 1 = x6 × x²

Use identity

( a ) m × ( a ) n = ( a ) m + n

=====> 1 = ( x ) 6 + 2

====> 1 = ( x ) 8

====> ( x ) 8 = 1

====> x^8 - ( 1 ) = 0