Question

If x-1/x=1/3,find x³-1/x³​

Answer 1

Step-by-step explanation:

If x-1/x = 1/3 then,

• (x - 1/x)^3 = (1/3)^3
• x^3 - 1/x^3 + 3 = 1/27
• x^3 - 1/x^3 = 1/27 - 3
• x^3 - 1/x^3 = 1/27 - 81/27
• x^3 - 1/x^3 = -80/27

understood??

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Answer 2

Answer:

by cross miltiplying

3(x-1)=1(x)

3x-3=x

2x=3

x=3/2

x³=(3/2)³

  = 27/8

x³-1/x³=27/8-8/27

         =27²/(8*27)-8²/(8*27)

         =729/216-64/216

         =665/216