Only one of me!!

Only one of me
and nobody can got a second one
from a photocopy machine.

Nobody has the fingerprints i have

Nobody can cry my tears , or  laugh my laugh

or have my expectancy when i wait.

But anybody can mimic my dance with my dog.

Anybody can howl how i can sing out of tune.

And mirrors can show me multiplied

many times say,dressed up in red

or dressed up in grey.

Nobody can get into my clothes for me

or feel my fall for me or do my running.

Nobody hears my music for me,either.

I am just this one.

Nobody else makes the words

I shape with sound when i talk.

But anybody can act how i stutter in a rage

Anybody can copy echoes i make.

And mirrors can show me multiplied

many times,say,dressed in green

or dressed up in blue.

by:joo

我爱上了这本书！！

我看了这本书"

中学生不准谈恋爱

超好看的呀。。。

就是这本咯。。

杨宝贝写了这本书。。

看了很感动咯。。

我看了这本书后

我喜欢上了杨宝贝了

因为

她很美。她好会写小说哦

真的好好看哦

不看是你们后悔咯

不过

谁有这本书呀？？

我想看呀。。。

有的话

请借给我

拜托!!!

Mathematics Chapter 2 Questions

Mathematics are like games x)

 

If you manage to handle it,

Or even , win it...

You might even get an A++ for it! =)

You can play it in any ways..

Some even play it using this x)

And by multiplying in fun ways!

For example :

Now, Im goin to show you The Quadratic Equations and how you solve,

Or like what I might call it,

How to "play" it x)

1)

2x(x – 3) = (2 – x)(x + 1)
2x2 – 6x = 2x + 2 – x2 – x
3x2 – 7x – 2 = 0
x =
– (–7) ± (–7)2 – 4(3)(–2)
2(3)
x =
7 ± 49 + 24
6
x = 7 ± 8.5440
6
x = 2.591 or –0.2573

2) The roots are 2
3
and – 5
2
.
Sum of roots = 2
3
+ – 5
2 = – 11
6
Product of roots = 2
3
× – 5
2 = – 5
3
The quadratic equation is
x2 + 11
6
x – 5
3
= 0
6x2 + 11x – 10 = 0
x2 – (sum of roots)x + (product of roots) = 0

 

3) y = 5x – 2 … 1
y = 3x2 + 3x + k … 2
Substituting 2 into 1 :
3x2 + 3x + k = 5x – 2
3x2 – 2x + k + 2 = 0
a = 3, b = –2, c = k + 2
In the case where a curve does not meet a straight
line, b2 – 4ac < 0 is applied.
b2 – 4ac < 0
(–2)2 – 4(3)(k + 2) < 0
4 – 12k – 24 < 0
–12k – 20 < 0
–12k < 20
k > 20
–12
k > –12
3

4) 7 – 2(1 + x)2 = x(x + 5)
7 – 2(1 + 2x + x2) = x2 + 5x
7 – 2 – 4x – 2x2 = x2 + 5x
3x2 + 9x – 5 = 0
x =
–b ± b2 – 4ac
2a
x =
–9 ± 92 – 4(3)(–5)
2(3)
x =
–9 ± 141
6
x = 0.4791 or –3.479

5) 9x2 + qx + 1 = 4x
9x2 + qx – 4x + 1 = 0
9x2 + (q – 4)x + 1 = 0
a = 9, b = q – 4, c = 1 

If the equation has equal roots, then
b2 – 4ac = 0
(q – 4)2 – 4(9)(1) = 0
q2 – 8q + 16 – 36 = 0
q2 – 8q – 20 = 0
(q + 2)(q – 10) = 0

q = –2 or 10