solve
3x^2-5x-11=0
find the x intersepts of f(x)=3x^2-5x-11.

- anonymous

solve
3x^2-5x-11=0
find the x intersepts of f(x)=3x^2-5x-11.

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- Hero

It's not complex

- Hero

\[D = b^2 - 4ac = (-5)^2 - 4(3)(-11) = 25 + 132 = 157\]

- Hero

\[x = \frac{\pm \sqrt{157} + 5}{6}\]

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## More answers

- anonymous

any method ?

- anonymous

thank you

- anonymous

@Hero that's the answer i got,dat's why i called it a complex root

- anonymous

@krypton : square root of a negative number gives you a complex number solution

- myininaya

any number is complex

- myininaya

4 is complex
4i is complex
4+4i is complex

- anonymous

4+0i

- anonymous

why do we have real and complex sets then ?

- myininaya

real numbers is a subset of the complex
imaginary numbers is a subset of the complex

- myininaya

all numbers are complex

- 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

Definition of Complex:
\[Complex =\{a+bi | a \in \mathbb{R} , b \in \mathbb{R}\}\]

- Hero

Define complex in words only without using mathematical notation.

- 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

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

... Special Case

- Hero

That's good to know. I'm not the one confused about it.

- myininaya

Excuse me?

- myininaya

I'm not confused either.

- Hero

I know you're not myininaya. I never said you were :P

- anonymous

def : A complex number is neither purely real nor purely imaginary, but rather is a composite of the two ! Happy everyone ?

- myininaya

Ok I guess I just understood you. sorry hero. :)

- myininaya

misunderstood you* lol

- myininaya

real numbers are complex
imaginary numbers are complex
real numbers+imaginary numbers are still complex

- Hero

she avoided using the word "pure" in her definitions.

- myininaya

http://en.wikipedia.org/wiki/Complex_number

- Hero

So myininaya, which numbers are purely complex?

- 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

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

Guess there's no such thing as a pure complex number since it is a "mixture" of pure real and pure imaginary.

- anonymous

4 is real
4+0i is complex

- myininaya

4=4+0i

- myininaya

4/2 is an integer
just like 2 is

- myininaya

because 4/2=2

- myininaya

@jamesj @zarkon

- Hero

Why are you two reciting stuff you already know? Because I already know this stuff

- anonymous

|dw:1331351848500:dw|

- anonymous

this is interesting ... LOL

- Hero

mathg8, I guess you really want krypton to understand

- anonymous

I just never heard this before ... so it is interesting ( not wrong or right ) just interesting ...

- anonymous

real numbers are complex ( i meant this statement )

- anonymous

lol intresting :)

- Hero

Krypton, I'm sure you enjoyed this

- anonymous

lol yeah! alot,just woke up from sleep and logged in,only to find some argument in here.was fun :)

- anonymous

yes ... this was fun!

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