Question

If(y²+ 1/y² )=83 Find y ³- 1/y³​

Answer 1

Answer:

(y²+ 1/y² )=83

we know

(y-1/y)²

=y²-2*1+1/y²=83-2=81

hence (y-1/y)²=81

then (y-1/y)=9

y ³- 1/y³​= (y-1/y)(y²+1+1/y²)

=(9)(83+1)

=84*9=756

final answer is 756

hope it helps

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