Passion and Pride

Authors, Cathy Chen, Society

by Cathy Chen

As a speaker of three languages, I can honestly state that it wasn’t just determination that got me through —it was passion to learn and pride of who I am and who I wished to be.  Of those three languages, one is English, and another is Mandarin (Chinese).

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Tradition and the Modern Holiday Season

Authors, Omar Abdelhamid, Society

By Omar Abdelhamid

What holiday is special to you? Why is it special to you?

The latin word tradere, meaning handed over, is the root word for tradition. Tradition is quite literally handing over ideas, customs, cultures, and morals.

When we celebrate a holiday, passed down to us from our ancestors, the celebration is not merely a religious celebration, but also a chance to connect with the people important to us, and the ideas that are important to us.  We are able to connect to our previous generations of family and strengthen it, by replicating and carrying on the traditions of holidays. It brings us closer to our ancestors and our culture, who celebrated the same holiday with the same customs and in (almost) the same way.

The Winner of the Haiku Day Haiku Contest is……. Aaron Wang!

Here is Aaron’s poem:

Look, it’s New Year’s Day,

Parties, food, and wild laughter,

What a beginning.

Thank you Aaron, and thanks to all who entered.
Happy Holidays!
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The Quadratic Formula

Alwin Peng, Authors, Math, Uncategorized

 

By Alwin Peng

The quadratic formula is used in order to find the value of x in an equation such as ax^2 + bx + c = 0.

It is x = (-b + (b^2 – 4ac)^(1/2))/2a.

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It simplifies a more complicated way to solve the expression. Below, I will show you why the formula works by explaining how it was derived.Deriving the quadratic formula goes as follows:

ax^2 + bx + c = 0

ax^2 + bx = -c .We subtract both sides by C

x^2 + bx/a = -c/a .We divide both sides by A

x^2 + bx/a + (b^2)/(4a^2) = -c/a + (b^2)/(4a^2) .We add (b^2)/(4a^2) to both sides   so that the left side of the equation is factorable

(x + b/2a)^2 = -c/a + (b^2)/(4a^2) We factor the left side

(x + b/2a)^2 = -4ac/(4a^2) + (b^2)/(4a^2) We multiply the top and bottom of the fraction -c/a by 4a so that it can be added with (b^2)/(4a^2), achieving the common denominator of 4a^2 in both fractions.

(x + b/2a)^2 = (-4ac + (b^2))/(4a^2) We now add the like terms

x + b/2a = (((b^2) – 4ac)^(1/2))/2a We square root both sides

At last, we subtract both sides by b/2a, isolating x and getting the quadratic formula:

x = (-b + (b^2 – 4ac)^(1/2))/2a

The method  that we just used to obtain the quadratic formula is known as “completing the square”, but just plugging values into the quadratic formula is a faster and simplified way to complete the square.