solve 3x^2-5x-11=0 find the x intersepts of f(x)=3x^2-5x-11.
It's not complex
\[D = b^2 - 4ac = (-5)^2 - 4(3)(-11) = 25 + 132 = 157\]
\[x = \frac{\pm \sqrt{157} + 5}{6}\]
any method ?
thank you
@Hero that's the answer i got,dat's why i called it a complex root
@krypton : square root of a negative number gives you a complex number solution
any number is complex
4 is complex 4i is complex 4+4i is complex
4+0i
why do we have real and complex sets then ?
real numbers is a subset of the complex imaginary numbers is a subset of the complex
all numbers are complex
If a complex number has b = 0, then it is a real number and it lies on the real axis in the complex plane
Definition of Complex: \[Complex =\{a+bi | a \in \mathbb{R} , b \in \mathbb{R}\}\]
Define complex in words only without using mathematical notation.
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
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.
... Special Case
That's good to know. I'm not the one confused about it.
Excuse me?
I'm not confused either.
I know you're not myininaya. I never said you were :P
def : A complex number is neither purely real nor purely imaginary, but rather is a composite of the two ! Happy everyone ?
Ok I guess I just understood you. sorry hero. :)
misunderstood you* lol
real numbers are complex imaginary numbers are complex real numbers+imaginary numbers are still complex
she avoided using the word "pure" in her definitions.
So myininaya, which numbers are purely complex?
I don't have a definition for "purely" complex numbers as I never heard of any set of numbers being defined at such sorry
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 )
Guess there's no such thing as a pure complex number since it is a "mixture" of pure real and pure imaginary.
4 is real 4+0i is complex
4=4+0i
4/2 is an integer just like 2 is
because 4/2=2
@jamesj @zarkon
Why are you two reciting stuff you already know? Because I already know this stuff
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