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AP EAMCET2011MathematicsQuadratic Equation

The value of a for which the equations x^3+a x+1=0 and x^4+a x^2+1=0 have a common root is

Options

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

Correct answer

A. -2

Step-by-step solution

Let a=-2 , x^3-2 x+1=0 and x^4-2 x^2+1=0 Put x=1 , we get array rlrl & 1-2+1 & =0 and 1-2+1=0 0 =0 and 0=0 array Hence, required value is a=-2

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