Question

If x=1/x=5/2 then find the value of x^3-1/x^3



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Answer 1

Answer:

x-1/x=5/2

squaring

x²+1/x²-2=5/2

x²+1/x²=5/2+2=9/2

then x³-1/x³=(x-1/x)(x²+1/x²+1)

                   =(5/2)(9/2+1)

                     =(5/2)(11/2)

                     =55/4

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