anonymous
  • anonymous
solve 3x^2-5x-11=0 find the x intersepts of f(x)=3x^2-5x-11.
Mathematics
jamiebookeater
  • jamiebookeater
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Hero
  • Hero
It's not complex
Hero
  • Hero
\[D = b^2 - 4ac = (-5)^2 - 4(3)(-11) = 25 + 132 = 157\]
Hero
  • Hero
\[x = \frac{\pm \sqrt{157} + 5}{6}\]

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anonymous
  • anonymous
any method ?
anonymous
  • anonymous
thank you
anonymous
  • anonymous
@Hero that's the answer i got,dat's why i called it a complex root
anonymous
  • anonymous
@krypton : square root of a negative number gives you a complex number solution
myininaya
  • myininaya
any number is complex
myininaya
  • myininaya
4 is complex 4i is complex 4+4i is complex
anonymous
  • anonymous
4+0i
anonymous
  • anonymous
why do we have real and complex sets then ?
myininaya
  • myininaya
real numbers is a subset of the complex imaginary numbers is a subset of the complex
myininaya
  • myininaya
all numbers are complex
anonymous
  • anonymous
If a complex number has b = 0, then it is a real number and it lies on the real axis in the complex plane
myininaya
  • myininaya
Definition of Complex: \[Complex =\{a+bi | a \in \mathbb{R} , b \in \mathbb{R}\}\]
Hero
  • Hero
Define complex in words only without using mathematical notation.
Hero
  • Hero
What a meant to say is that the discriminant yields a real number, not a complex number. The definition of a complex number is a + bi
anonymous
  • anonymous
The real line can be thought of as a part of the complex plane, and correspondingly, complex numbers include real numbers as a special case.
anonymous
  • anonymous
... Special Case
Hero
  • Hero
That's good to know. I'm not the one confused about it.
myininaya
  • myininaya
Excuse me?
myininaya
  • myininaya
I'm not confused either.
Hero
  • Hero
I know you're not myininaya. I never said you were :P
anonymous
  • anonymous
def : A complex number is neither purely real nor purely imaginary, but rather is a composite of the two ! Happy everyone ?
myininaya
  • myininaya
Ok I guess I just understood you. sorry hero. :)
myininaya
  • myininaya
misunderstood you* lol
myininaya
  • myininaya
real numbers are complex imaginary numbers are complex real numbers+imaginary numbers are still complex
Hero
  • Hero
she avoided using the word "pure" in her definitions.
myininaya
  • myininaya
http://en.wikipedia.org/wiki/Complex_number
Hero
  • Hero
So myininaya, which numbers are purely complex?
myininaya
  • myininaya
I don't have a definition for "purely" complex numbers as I never heard of any set of numbers being defined at such sorry
anonymous
  • anonymous
check out this book : An imaginary tale The Story of √-1 by Paul J. Nahim ( Professor Emeritus of Electrical Engineering at the University of New Hampshire )
Hero
  • Hero
Guess there's no such thing as a pure complex number since it is a "mixture" of pure real and pure imaginary.
anonymous
  • anonymous
4 is real 4+0i is complex
myininaya
  • myininaya
4=4+0i
myininaya
  • myininaya
4/2 is an integer just like 2 is
myininaya
  • myininaya
because 4/2=2
myininaya
  • myininaya
Hero
  • Hero
Why are you two reciting stuff you already know? Because I already know this stuff
anonymous
  • anonymous
|dw:1331351848500:dw|
anonymous
  • anonymous
this is interesting ... LOL
Hero
  • Hero
mathg8, I guess you really want krypton to understand
anonymous
  • anonymous
I just never heard this before ... so it is interesting ( not wrong or right ) just interesting ...
anonymous
  • anonymous
real numbers are complex ( i meant this statement )
anonymous
  • anonymous
lol intresting :)
Hero
  • Hero
Krypton, I'm sure you enjoyed this
anonymous
  • anonymous
lol yeah! alot,just woke up from sleep and logged in,only to find some argument in here.was fun :)
anonymous
  • anonymous
yes ... this was fun!

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