x²-x-1= 0 then prof that x³-1/x³= 4
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yess, answer is here
°.° x²-x-1= 0
=> x²-1=x
=> x-1/x=1
now
x³-1/x³
= (x-1/x)³+3x.1/x(x-1/x)
= 1³+3.1
=1+3
=4
proved
°.° x²-x-1= 0
=> x²-1=x
=> x-1/x=1
now
x³-1/x³
= (x-1/x)³+3x.1/x(x-1/x)
= 1³+3.1
=1+3
=4
proved
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