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Question Number 217991 by yassin last updated on 25/Mar/25

x^2 +3=0  x^2 +5=3

$${x}^{\mathrm{2}} +\mathrm{3}=\mathrm{0} \\ $$$${x}^{\mathrm{2}} +\mathrm{5}=\mathrm{3} \\ $$

Answered by shunmisaki007 last updated on 25/Mar/25

x^2 +3=0  x^2 −((√3)i)^2 =0  x=(√3)i, x=−(√3)i ★    x^2 +5=3  x^2 +2=0  x^2 −((√2)i)^2 =0  x=(√2)i, x=−(√2)i ★

$${x}^{\mathrm{2}} +\mathrm{3}=\mathrm{0} \\ $$$${x}^{\mathrm{2}} −\left(\sqrt{\mathrm{3}}{i}\right)^{\mathrm{2}} =\mathrm{0} \\ $$$${x}=\sqrt{\mathrm{3}}{i},\:{x}=−\sqrt{\mathrm{3}}{i}\:\bigstar \\ $$$$ \\ $$$${x}^{\mathrm{2}} +\mathrm{5}=\mathrm{3} \\ $$$${x}^{\mathrm{2}} +\mathrm{2}=\mathrm{0} \\ $$$${x}^{\mathrm{2}} −\left(\sqrt{\mathrm{2}}{i}\right)^{\mathrm{2}} =\mathrm{0} \\ $$$${x}=\sqrt{\mathrm{2}}{i},\:{x}=−\sqrt{\mathrm{2}}{i}\:\bigstar \\ $$

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