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Q.

if one root of the equation  x3−6x2+3x+10=0 is the average of the other  two, then the sum of fourth powers of the roots of the equation is 

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a

641

b

642

c

640

d

643

answer is A.

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Detailed Solution

Given 2α=β+γ3α=6α=2
And other roots are β=5,γ=−1
∴α4+β4+γ4=642

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if one root of the equation  x3−6x2+3x+10=0 is the average of the other  two, then the sum of fourth powers of the roots of the equation is