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Question: Answered & Verified by Expert
The sum of all non-integer roots of the equation $x^{5}-6 x^{4}+11 x^{3}-5 x^{2}-3 x+2=0$ is
MathematicsQuadratic EquationKVPYKVPY 2017 (5 Nov SA)
Options:
  • A 6
  • B $-11$
  • C $-5$
  • D 3
Solution:
1654 Upvotes Verified Answer
The correct answer is: 3
$(x-1)(x-2)\left(x^{3}-3 x+1\right)=0$
$\therefore$ Required sum of roots $=3$

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