Question

if x-1/x=1/2 then write the value of 4x^2+4/x^2

Answer 1

Hi ,

x - 1/x = 1/2 ----( 1 )

x² + 1/x² = ( x - 1/x )² + 2

= ( 1/2 )² + 2

= 1/4 + 2

= ( 1 + 8 ) /4

= 9/4 ---( 2 )

4( x² + 1/x² ) = 4 × ( 9/4 )

4x² + 4/x² = 4

I hope this helps you.

:)