### More on Quadratic Functions.. (fill in post)

Well there is no post again...

Though this is too late... It might help...

**IMAGINARY NUMBERS**are set of negative numbers inside a root...

The

*imaginary unit*

**"i" ,**is defined as:

**i**= square root of -1;

**i**= -1

^{2}therefore for any positive real number

**"a"**, square root of -a=*i*square root of***"a"**Examples:

a. square root of -4 = i* square root of 4

square root of -4 = 2i

b. square root of -25= i * square root of 25

square root of -25= 5i

c. ± square root of -8= ± 2i * square root of 2

** from this part onward i will be using /x /to represent square root.. the number between the two slashes is inside a root sign

CHECK:

(2i/2)

^{2}= -8

2

^{2 }i

^{2 }* 2= -8

8i

^{2}= -8

8(-1)= -8

-8 = -8

2a__-b ± /b-4ac/__2a

y=x^{2} + 4

**a= 1, b= 0, c =4 **

**= [0 ± /o -(4)(4)(1)/]÷2(1)**

**=(/-16/)÷ 2**

**=4i ÷2**

**=2i**

**Example:**

**y= 2x ^{4} - 5x^{2} + 2**

**let p be equal to x ^{2}**

**y=2p ^{2}-5p+2**

**y=(2p-1)(p-2)**

y = 2p-1 p= ± /½/ p= ±/2/÷2 | y = p-2 p= ± /2/ p= ± /2/ |

**x= ± square root of 2 divided by 2, ± square root of 2**

well... i'll end this here since I am too sleepy already...

MILES.. MAYORDOMO..

I guess i pick the next scribe so i choose.....

*KAT*

## 1 Comments:

Thank you Miles for, again, being the fill-in scribe. You are truly a great student who's really setting a good example for everyone else. Keep up the good work.

11:44 AM

Post a Comment

<< Home