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TS EAMCET · Maths · Quadratic Equation

The sum of the fourth powers of the roots of the equation \(x^3+x+1=0\) is

  1. A \(-2\)
  2. B \(-1\)
  3. C \(1\)
  4. D \(2\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(2\)

Step-by-step Solution

Detailed explanation

Given equation is \(x^3+x+1=0\) On comparing with \(x^3+p_1 x^2+p_2 x+p_3=0\), we get Now, \[ p_1=0, p_2=1, p_3=1 \]…