Question

If x-1/x=4, find the value of (I)x³-1/x³(ii)x⁶+1/x⁶​

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

i) 78

ii) 6086

Step-by-step explanation:

x-1/x=4

i) (x-1/x)^3=x^3-(1/x^3) -3(x - 1/x)

=>4^3=x^3-(1/x^3) -3(4)

=>64=x^3-(1/x^3)-12

=>64+12=x^3-(1/x^3)

=>x^3-(1/x^3)=78

ii)(x^3-1/x^3)^2=x^6+(1/x^6)-2 x (x^3) (1/x^3)

=>78^2=x^6+(1/x^6)-2

=>6084+2=x^6+(1/x^6)

=>6086=x^6+(1/x^6)