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

Question

Show the following quadratic equation by factorization method: $x^2+10 ix -21=0$

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Answer

$x^2+10 i x-21=0 \Rightarrow x^2+10 i x+21 i^2=0 \Rightarrow x^2+7 i x+3 i x+21 i^2=0 \Rightarrow(x+3 i)(x+7 i)=0 \therefore x=-3 i,-7 i$

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