1.

If x+1/x=4 then x4+1/x4=?

Answer»

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.

:)


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