Question

from the equation whose roots are1+5√-1, 5-√-1
​

Answer 1

Answer:

Given roots are −1±i,−1±

2

(x+1−i)(x+1+i)(x+1−

2

)(x+1+

2

)

=[(x+1)

2

−i

2

][(x+1)

2

−(

2

)

2

]

=(x

2

+2x+1+1)(x

2

+2x+1−2)

=(x

2

+2x+2)(x

2

+2x−1)

=x

4

+2x

3

−x

2

+2x

3

+4x

2

−2x+2x

2

+4x−2

=x

4

+4x

3

+5x

2

+2x−2

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