Question

if X square + 1 upon x square is equal to 34 X less than zero find x minus one upo.n
x​

Answer 1

x² + 1/x² = 34----( 1 )

x² + 1/x² + 2 × x² × 1/x² = 34 +2

( x + 1/x )² = 36

( x + 1/x ) = √36

x + 1/x = 6 -----( 2 )

( x + 1/x )³ = x³ + 1/x³ + 3 ( x + 1/x )

6³ = x³ + 1/x³ + 3 × 6

216 = x ³ + 1/x³ + 18

216 - 18 = x³ + 1/x³

Therefore ,

x³ + 1/x³ = 198