If x+-= 8, then the value of x.Ais equalf x^{4}+\frac{1}{x^{4}} \text

1.	If x+-= 8, then the value of x.Ais equalf x^{4}+\frac{1}{x^{4}} \text { is } e is equal to:
Answer» It is given that , x + 1/x = 8 ---( 1 ) Do the square of equation ( 1 ), ( x + 1/x )² = 8² x² + 1/x² + 2 = 64 x² + 1/x² = 64 - 2 x² + 1/x² = 62 --( 2 ) Again do the square of equation ( 2 ), ( x² + 1/x² )² = 62² x⁴ + 1/x⁴ + 2 = 3844 x⁴ + 1/x⁴ = 3844 - 2 = 3842

If x+-= 8, then the value of x.Ais equalf x^{4}+\frac{1}{x^{4}} \text { is } e is equal to:

Answer»

It is given that ,

x + 1/x = 8 ---( 1 )

Do the square of equation ( 1 ),

( x + 1/x )² = 8²

x² + 1/x² + 2 = 64

x² + 1/x² = 64 - 2

x² + 1/x² = 62 --( 2 )

Again do the square of equation ( 2 ),

( x² + 1/x² )² = 62²

x⁴ + 1/x⁴ + 2 = 3844

x⁴ + 1/x⁴ = 3844 - 2

= 3842