Question

if x+1/x=4 show that x2+4/x2=4​

Answer 1

Answer:- 194

Hi ,

It is given that ,

x + 1/x = 4 ---( 1 )

Do the square of equation ( 1 ),

( x + 1/x )² = 4²

x² + 1/x² + 2 = 16

x² + 1/x² = 16 - 2

x² + 1/x² = 14 --( 2 )

Again do the square of equation ( 2 ),

( x² + 1/x² )² = 14²

x⁴ + 1/x⁴ + 2 = 196

x⁴ + 1/x⁴ = 196 - 2

= 194

I hope this helps you.

:)

||MrCuteKing||