x to the power 2-(3root2-2i)x-6root2i
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ur question is x^2-(3sqrt(2)-2i)x - 6sqrt(2)i
a=1; b=3sqrt(2)-2i; c=6sqrt(2)
the roots are b (+/-) sqrt[b^2 - 4*a*c] / 2*a
( 3√2 - 2i ) (+/-) √[(3√2-2i)^2 + 24√2i] / 2
=( 3√2 - 2i ) (+/-) √[14 + 12√2i] / 2 [after simplification]
so the roots are ( 3√2 - 2i ) + √[(3√2-2i)^2 + 24√2i] / 2 and ( 3√2 - 2i ) - √[(3√2-2i)^2 + 24√2i] / 2
a=1; b=3sqrt(2)-2i; c=6sqrt(2)
the roots are b (+/-) sqrt[b^2 - 4*a*c] / 2*a
( 3√2 - 2i ) (+/-) √[(3√2-2i)^2 + 24√2i] / 2
=( 3√2 - 2i ) (+/-) √[14 + 12√2i] / 2 [after simplification]
so the roots are ( 3√2 - 2i ) + √[(3√2-2i)^2 + 24√2i] / 2 and ( 3√2 - 2i ) - √[(3√2-2i)^2 + 24√2i] / 2