Difference between revisions of "User:Negativebplusorminus"

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==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).
==AoPS Wiki as of September 17, 2011==
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==AoPS Wiki as of {{CURRENTMONTHNAME}} {{CURRENTDAY}}, {{CURRENTYEAR}}==
 
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Revision as of 14:10, 18 September 2011

A AoPS member.

negativebplusorminus

My username is from the quadratic formula, which states that the roots of the equation $ax^2+bx+c=0$ are \[x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\] which, when read aloud, is "negativebplusorminus..."

Signature

Signature as of September 1st, 2011: \[\sqrt{a+bi}=\sqrt{\frac{a+\sqrt{a^2+b^2}}{2}}+i\sqrt{\frac{-a+\sqrt{a^2+b^2}}{2}}\]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 $a+bi$ which can be derived from inputting that equation into itself.

Notable Work

Discovered $\sqrt{a+bi}$ in terms of $a$ and $b$, 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).

AoPS Wiki as of March 28, 2024

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Problem of the Day

AoPSWiki:Problem of the Day/March 28, 2024

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