Saturday, March 10, 2007

hates open letter. might hurt someone.

me? walang plastikan, i am compassionate. i do not hold grudges against other people. i don't (and can't) bottle up anger. ayoko ng gulo c: hindi rin ako duwag, but it takes a lot of effort to bring out the b i t c h in me c: at pag nangyari yon, nako, im unlikable c: i don't like speaking ill of others. believe me, i've learned the hard way. i may kid around a lot, but i know my limitations. i don't actually hate, because everything and everyone in this world is beautiful c: pero nako, there are just some people who feel they own the world (or another person for that matter)

Friday, March 9, 2007

24 is the shi*. haha.

march 8, 2007

let's call it a day.

lahat kami takot na pumasok sa i.a room, kung saan may aircon and super lamig. diba nakakatakot kung papasok ka sa malamig na lugar habang ikaw ay nanlalamig dahil s takot. you'll never know if you'll pass the test or not. another factor that affected us to be nervous is that LATE kami. buti maam was in the good mood kaya hindi kami pinagalitan though in between discussion ay pinapagalitan niya kami, haha. for others like me, it comes natural. i was bombed when keesha told me n wala pa akong tama answer sa first part nung test. i said. "wooow. how could that be?" i've already bet my score. naku naman, nakataya ung 100php ko jan. kasi i thought i'll be able to get the score i'm wanting all my life in sophies year.

i got 24 points. mark it. it's 24. haha. it's more than the passing score, i mean it's more than maam gallardo could expect. [remember my old post] someone underestimated me before and oh my godlike. i think that someone is pissed off right now. haha.

well, the third part of the test was very embarassing.>:P i got zero. haha. but it was really so hard and even the papers that i was checking never had a score on that part. haha. at least may kadamay.XD

im super proud i passed. are you, ma'am?

my table full of numbers


THIS POST IS ABOUT RADICALS

this is not a root of a tree. but a root of a number.
does it sound scary? ofcourse it does. first impression to radicals last,NOT. you may think alot of numbers are seen in your paper or the entire table rather, with all those papers all over the place containtg numbers. worse is that zero is there..XD

i- is what you call an imaginary number.
-it is the square root of -1 [fascinates me alot]

i cube = - square root of -1 [same same]

so let me tell you a story about the radicals:

Roots and Radicals deserve their own chapter and homework because they occur frequently in applications.

Let $ n\<span class=geq 2 $" align="middle" border="0" height="39" width="57"> be a natural number, and let $ a $ be a real number. The $ n $-th root of $ a $ is a number $ b $ that satisfies $ a = b^n. $ The number $ b $ is denoted by

$\<span class=displaystyle b = \root n \of a. $" align="middle" border="0" height="48" width="81">

For example, $ \root 4 \of 81 = 3 $ since $ 3^4 = 81 $, and $ \root 5 \of 32 = 2 $ since $ 2^5= 32 $.

The symbol $ \<span class=sqrt{\phantom{yz}} $" align="middle" border="0" height="42" width="45"> is called the radical symbol, and an expression involving it is called a radical (expression).

If $ n=2 $ then $ b $ is the square root of $ a $ and the number $ 2 $ is usually omitted. For example, $ \root 2 \of 25 = \<span class=sqrt{25} = 5. $" align="middle" border="0" height="50" width="155">

If $ n=3 $, then $ b $ is the cube root of $ a $. For example, the cube root of $ 27 $ is $ 3 $, and that of $ 8 $ is $ 2 $.

If $ n $ is even and $ a $ is positive then there are two $ n $-th roots of $ a $, each being the negative of the other. For example, since $ 5^2 = (-5)^2 = 25 $ there are two square roots of $ 25 $. In that case by convention the symbol $ \root n \of a $ means the positive $ n $-th root of $ a $, and it is called the principal ($ n $-th) root of $ a $.

If $ a $ is negative and $ n $ is odd then there is just one $ n $-th root, and it is negative also. For example, $ \root 3 \of -1 = \root 5 \of -1 = -1. $

At this stage we do not know of an $ n $-th root if $ n $ is even and $ a $ is negative. This leads to the subject of complex numbers which we will take up later in the course.

Radicals are just special cases of powers, and you can simplify much of your thinking by keeping this fact in mind:

$\<span class=

It follows immediately from that observation and the properties of powers that

$\<span class=>

Solving Radical Equations

An equation involving radicals is called a radical equation (naturally). To solve it you simply apply our general principle:

To solve an equation figure out what bothers you and then do the same thing on both sides of the equation to get rid of it.

To get rid of a radical you take it to a power that will change the rational exponent to a natural number. This will work if the radical is on one side of the equation by itself.


Hope you enjoyed the story about the radicals and roots. because you will never get the answer if you will not try to analyze it. numbers might be scary on the outside but meaningful on the inside.


a yes or a no?


march 5, 2007
very memorable to imagine.

we're with our adviser.
the first test she attended completely the entire school year.

we had a test, final achievement test, we had so much fun and enjoyment. as the hours pass, lahat na ng nasa mind ko is settled about the test, concentration. pero never in my entire day na naisip ko ang card ko, the very horrible and terrifying class card na i never had a high grade in i.a..

very disappointing dahil i thought i gave it all. pero one point lang ang difference ng grade ko from the past grading periods. akala ko 85 nako knowing i passed all the requirements though my periodic test was bit of a crap.

well, i have uttered these things for the whole day and even in my dreams.
i have many questions right now regarding my grades so my post for today will not yet be concluded.