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February 14th, 2017, 09:05 PM  #1 
Banned Camp Joined: Aug 2011 Posts: 534 Thanks: 2  Quadratic equations having complex numbers.
Can we have Quadratic equations having complex numbers? Thanks & Regards, Prashant S Akerkar 
February 14th, 2017, 09:20 PM  #2 
Senior Member Joined: Sep 2007 From: USA Posts: 349 Thanks: 67 Math Focus: Calculus 
Sure. Consider $ix^2(1+i)x+2=0$. It has solutions $\displaystyle x=\frac{\left( \sqrt{2}\,\sqrt{6}2\right) i+\sqrt{2}\,\sqrt{6}+2}{4},x=\frac{\left( \sqrt{2}\,\sqrt{6}+2\right) i+\sqrt{2}\,\sqrt{6}2}{4}$.

February 14th, 2017, 09:27 PM  #3 
Senior Member Joined: Sep 2015 From: Southern California, USA Posts: 1,491 Thanks: 752  

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complex, equations, numbers, quadratic 
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