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AP EAMCET20228 Jul 2022Morning ShiftMathematicsComplex NumberActual

The sum of the complex roots of the equation x^4-2 x^3+x-380=0 is

Options

  1. A-3 i+3
  2. B3 i -3
  3. C-1
  4. D1

Correct answer

D. 1

Step-by-step solution

x^4-2 x^3+x-380=0 aligned & put x=5 & 5^4-2 5^3+5-380= 0=0 aligned So, x=5 one real root put n =-4(-4)^4-2 x(-4)^3+(-4)-380=0 0=0 So, n=-4 is second real roots. Let and are two other roots... aligned & + +5-4=- (-2) 1 & + +1=2 & + =1 aligned

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