x2 + x + 1 = 0 , then the value of ( x3 + 1 / x3 )3 is ????????

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Discussion Response Post to: x2 + x + 1 = 0 , then the value of ( x3 + 1 / x3 )3 is ????????

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28 Feb 2010 23:34:02 IST

Subject: x2 + x + 1 = 0 , then the value of ( x3 + 1 / x3 )3 is ????????

HIMANSHU JAIN (376)

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Since, the equation has imaginary roots.
So, on solving we get roots as omega(w) and w^2.
we know that w^3=1.
So, ans comes out to be ((w^3 +1)/(w^3))^3.
hence, ans is 8.

Himanshu Jain P.E.C. http://jainhim.blogspot.com/

this reply: 5 points (with 1 Olaaa!! Perrrfect answer.

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