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− | A AoPS member. | + | A AoPS member. |
− | ===Negativebplusorminus===
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− | My username is from the quadratic formula, which states that the roots of the equation <math>ax^2+bx+c=0</math> are
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− | <cmath>x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}</cmath>
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− | which, when read aloud, is "negativebplusorminus..."
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− | ==Signature==
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− | Signature as of September 1st, 2011:
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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.
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− | I swear on my honor that my work and my answers are my own; if I received help, credit is given.
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− | ===Equation===
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− | 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.
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− | ==Notable Work==
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− | 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).
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