if x-1/2=root3 find x^3+1/x^3
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x-1/2=√3
(2x-1)/2=√3
(2x-1)=2√3
2x=2√3
x=√3
now,
x^3+1/x^3
√3^3+1/√3^3
3√3+1/3√3
(27+1)/3√3
28/3√3
on rationalising
28√3/9.....
hope it helps....
(2x-1)/2=√3
(2x-1)=2√3
2x=2√3
x=√3
now,
x^3+1/x^3
√3^3+1/√3^3
3√3+1/3√3
(27+1)/3√3
28/3√3
on rationalising
28√3/9.....
hope it helps....
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