This is a blog for my second semester pre-calculus 30s students. Have a blast!

Wednesday, March 08, 2006

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; i2 = -1
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
22 i2 * 2= -8
8i2= -8
8(-1)= -8
-8 = -8












FORMULA FOR FINDING THE VALUE OF X... SHORTCUT FOR COMPLETING THE SQUARE




-b ± /b-4ac/
2a



EXAMPLE:

y=x2 + 4

a= 1, b= 0, c =4

= [0 ± /o -(4)(4)(1)/]÷2(1)

=(/-16/)÷ 2

=4i ÷2

=2i

Example:

y= 2x4 - 5x2 + 2

let p be equal to x2

y=2p2-5p+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...

Hope this helps... :P...

MILES.. MAYORDOMO..




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

1 Comments:

Blogger Mr. Malandrakis said...

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

 

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