Difference between revisions of "User:Negativebplusorminus"
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<cmath>\sqrt{a+bi}=\sqrt{\frac{a+\sqrt{a^2+b^2}}{2}}+i\sqrt{\frac{-a+\sqrt{a^2+b^2}}{2}}</cmath>Pride goes before destruction, a haughty spirit before a fall. | <cmath>\sqrt{a+bi}=\sqrt{\frac{a+\sqrt{a^2+b^2}}{2}}+i\sqrt{\frac{-a+\sqrt{a^2+b^2}}{2}}</cmath>Pride goes before destruction, a haughty spirit before a fall. | ||
I swear on my honor that my work and my answers are my own; if I received help, credit is given. | I swear on my honor that my work and my answers are my own; if I received help, credit is given. | ||
| + | ===Equation=== | ||
| + | I derived that equation myself, and I am quite proud of it. I have a similar one for the fourth roots of <math>a+bi</math> which can be derived from inputting that equation into itself. | ||
==Notable Work== | ==Notable Work== | ||
Discovered <math>\sqrt{a+bi}</math> in terms of <math>a</math> and <math>b</math>, without trigonometry (not even using DeMoivre's theorems), and is noted for using mostly correct punctuation, capitalization, and spelling in the [[Art of Problem Solving]] classes (see [[AoPS Online School]] for how this classroom operates). | Discovered <math>\sqrt{a+bi}</math> in terms of <math>a</math> and <math>b</math>, without trigonometry (not even using DeMoivre's theorems), and is noted for using mostly correct punctuation, capitalization, and spelling in the [[Art of Problem Solving]] classes (see [[AoPS Online School]] for how this classroom operates). | ||
Revision as of 14:08, 17 September 2011
A AoPS member.
Negativebplusorminus
My username is from the quadratic formula, which states that the roots of the equation 
are
![\[x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\]](http://latex.artofproblemsolving.com/d/0/1/d01fd749d6550b117a645c357f01b3c9377e5756.png)
which, when read aloud, is "negativebplusorminus..."
Signature
Signature as of September 1st, 2011:
![\[\sqrt{a+bi}=\sqrt{\frac{a+\sqrt{a^2+b^2}}{2}}+i\sqrt{\frac{-a+\sqrt{a^2+b^2}}{2}}\]](http://latex.artofproblemsolving.com/1/1/5/115b79b994447d87745338438f7a8dc8bf2c25ad.png)
Pride goes before destruction, a haughty spirit before a fall.
I swear on my honor that my work and my answers are my own; if I received help, credit is given.
Equation
I derived that equation myself, and I am quite proud of it. I have a similar one for the fourth roots of 
which can be derived from inputting that equation into itself.
Notable Work
Discovered 
in terms of 
and 
, without trigonometry (not even using DeMoivre's theorems), and is noted for using mostly correct punctuation, capitalization, and spelling in the Art of Problem Solving classes (see AoPS Online School for how this classroom operates).
