Difference between revisions of "AoPS Wiki:Article of the Day"

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Temperal
Today's featured article is complex number: “The complex numbers arise when we try to solve equations such as $x^2 = -1$ . We know (from the trivial inequality) that the square of a real number cannot be negative, so this equation has no solutions in the real numbers. However, it is possible to define a number, $i$ , such that $i = \sqrt{-1}$ . If we add this new number to the reals, we will have solutions to $x^2 = -1$ . It turns out that in the system that results... ” [more] Past AotD's found here.

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 <font color="#B2B7F2" style="font-size:40px;">“</font>The '''complex numbers''' arise when we try to solve [[equation]]s such as <math> x^2 = -1 </math>.
-We know (from the [[trivial inequality]]) that the square of a [[real number]] cannot be [[negative]], so this equation has no solutions in the real numbers.  However, it is possible to define a number, <math> i </math>, such that <math> i = \sqrt{-1} </math>.  If we add this new number to the reals, we will have solutions to <math> x^2 = -1 </math>.  It turns out that in the system that results... [[[complex number|more]]<font color="#B2B7F2" style="font-size:40px">”</font>
+We know (from the [[trivial inequality]]) that the square of a [[real number]] cannot be [[negative]], so this equation has no solutions in the real numbers.  However, it is possible to define a number, <math> i </math>, such that <math> i = \sqrt{-1} </math>.  If we add this new number to the reals, we will have solutions to <math> x^2 = -1 </math>.  It turns out that in the system that results... <font color="#B2B7F2" style="font-size:40px">”</font> [[complex number|[more]]]
 [[User:Temperal/aotd/archive|Past AotD's found here.]]
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