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KCET2019MathematicsQuadratic Equation

If ( ) and ( ) are roots of the equation ( ²+x+1=0 ) then ( ²+ ² ) is

Options

  1. A( -1+i 3 2 )
  2. B( -1 )
  3. C( 11 )
  4. D( -1-i 3 2 )

Correct answer

B. ( -1 )

Step-by-step solution

(B) x²+x+1=0 x= , = ² where is the cube root of unity ²+ ²= ²+ ⁴= ²+ =-1

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