Consider biquadratic equation `81x^(4) + 216x^(3) + 216x^(2) +96x = 65`, whose roots are `a,b,c,d`. Given `a,b`, real roots and c,d are imaginary roots. On the basis of above information, answer the followin questions: The value of `(a+b)^(3) - (c+d)^(3)` is equal to-
A
`(-128)/(3)`
B
0
C
`(-64)/(3)`
D
`(-142)/(9)`
Text Solution
Verified by Experts
The correct Answer is:
B
The given equation is ltbgt `(3x+2)^(4) = 81` `implies ((3x+2)^(2)-9)((3x+2)^(2)+9)=0` Let `a=(1)/(3),b=(-5)/(3),C=(-2)/(3)+i,d=(-2)/(3)-i` Now,verfiy it
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