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TS EAMCET · Maths · Quadratic Equation

If 52 is the sum of two roots of the equation 6x6-25x5+31x4-31x2+25x-6=0 then the sum of all non-real roots of the equation is

  1. A does not exist
  2. B 0
  3. C 53
  4. D 25
Verified Solution

Answer & Solution

Correct Answer

(C) 53

Step-by-step Solution

Detailed explanation

Given, 6x6-25x5+31x4-31x2+25x-6=0 Let a1,a2, a3, a4, a5, a6 be roots of the given equation, Now given that sum of two roots is 53, And by hit and trial we get other two roots as 1 & -1, So, assuming a1+a2=52 & a3=1, a4=-1 By…