find qaudratic equation whose roots are -1-2i
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Answer:
i fone root is -1-2i than another root is -1+2i
therefore, sum of roots =-1-2i+(-1)+2i
sumof roots = -2
similarly productof roots= (-1-2i)(-1+2i)=1-4i
therfore equation having roots -2 and 1-4i is
x^2-(sum of roots)x+product of roots=x^2+2x+3
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