1.

The equation of the smallest degree with real coefficients having 1 + i as one of the roots is A. x2 + x + 1 = 0B. x2 - 2x + 2 = 0C. x2 + 2x + 2 = 0 D x2 + 2x - 2 = 0

Answer»

For the complex roots it will exists in pair. 

Hence the roots are 1+i and 1-i 

Formula for quadratic equation is (x-a) (x-b) = 0

(x-1-i) (x-1+i) = 0 

x2 - x + ix - x + 1 - i - ix + i - i2 = 0 

x2 - 2x + 2 = 0.



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