User:Negativebplusorminus

Revision as of 18:06, 19 September 2011 by Negativebplusorminus (talk | contribs)

A AoPS member.

AoPSWiki:Problem of the Day/November 21, 2024

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 November 21, 2024

Statistics

It is Thursday November 21, 2024, 22:43 (GMT).

There have been 236,950 edits to 10,608 articles since January, 2006.

3,351 files have been uploaded.


[More statistics...]

Problem of the Day

AoPSWiki:Problem of the Day/November 21, 2024

(View Answer/Add Solution)

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