Question

the biquadratic equation two of whose roots are 1+i,1-i-

Answer 1

Biquadratic => Degree '4' 

Sum of roots = ( 1 + i ) + ( 1 - i ) = 2
Product of roots = ( 1 + i )( 1 - i ) = ( 1 - i² ) = 2

Equation = ( x² - 2x + 2 )

Let other two roots be : ( -1 + i ), ( -1 - i )
Similarly, Equation = ( x² + 2x + 2 )


Multiplying both, the biquadratic equation = ( x⁴ + 4 ) √√