Show the following quadratic equation by factorization method: x^… - Vidyadip

Question

Show the following quadratic equation by factorization method: $x^2+(1-2 i) x-2 i=0$

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Answer

$x^2+(1-2 i) x-2 i=0 \Rightarrow x^2+x-2 i-2 i=0$
$\Rightarrow x(x+1)-2 i(x+1)=0 \Rightarrow(x+2 i)(x+1)=0 \Rightarrow x=2 i,-1$

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