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Swami Nithyananda is a self-styled godman who runs a number of ashrams across the country and heads the Nithyananda Dhyanapeetam, a religious organisation which he founded. According to a video available on his website, Nithyananda attained 'enlightenment' at the age of 12.
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If α and β are zero of f(x)=ax2+bx+c. The evaluate α4×β4
Note that we have
=(α+β)4=α4+β4+4C1α3β1+4C2α2β2+4C3α1β13
Then, α4+β4=(α+β)4−4(α3β1+α1β3)−6α2β2
=(α+β)4−4αβ(α2+β2)−6(αβ)2
Maxover, we have
α+β=−ab and αβ=ac
Then,
α4+β4=(−ab)4−4(ac)[(−ab)2−2(ac)]−6(ac)2
=a4b4−a4c(a2b2)+8(ac)2−6(ac)2
=a4b4−a34b2c+2a2C2
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