Question

x+1/x=3then what is x3+1/x3​

Answer 1

Answer:

Step-by-step explanation:

x + 1/x = 3

squaring both sides

x² + 1/x² + 2  = 9

x² + 1/x² = 7

x³ + 1/x³ = (x + 1/x)(x²+ 1/x² + 1)

=3( 7+1)

=24

Answer 2

Step-by-step explanation:

( x + 1 ) / x = 3

x + 1 = 3x

3x - x = 1

2x = 1

x = 1/2

Now ,

( x³ + 1 ) / x³ ---a

put value of x in eq. a

={ ( 1/2 )³ + 1 } / ( 1/2 )³

= ( 1/8 + 1 ) / ( 1/8 )

= ( 9/8 ) / ( 1/8 )

= 9/8 × 8/1

= 9