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AP EAMCET20225 Jul 2022Morning ShiftMathematicsQuadratic EquationActual

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

Options

  1. A-1
  2. B0
  3. C1
  4. D2

Correct answer

C. 1

Step-by-step solution

Considering the question to be, to find the roots of the equation x^4-2 x^3+x-380=0 Now, by trial error method we find that x=5 is a solution to the equation 5^4-2 5^3+5-380=0 aligned & =625-250+5-380=0 & =380-380=0 aligned Thus, x=5 is a solution. We also find that x=-4 is a solution aligned & (-4)^4-2 (-4)^3-4-380=0 & =256+128-4-380 & =380-380=0 aligned The real roots are 5 and -4 . Sum of real roots are 5+(-4)=1

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