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43 articles trouvés pour ce sujet.
Simplifying a complex expression 2021-12-15
Grace pose la question :
Write in the form. a+bi, -6-7i+8i^2+4i3-5i^4
Penny Nom lui répond.
0^(a+bi) 2020-12-03
Douglas pose la question :
I realize raising 0^a = 0 if a>0 and undefined if a<=0.

If have read that 0^bi is undefined for all b.

What I don't understand is why 0^(a+bi) = 0 if a and b are not equal to zero.

Is this purely by definition or is there a logical reason why this is the case?
(I have taken Complex Analysis, so have a fairly good understanding of complex numbers.)

Penny Nom lui répond.
Investigating y = (-2)^x 2020-01-13
Gonzalo pose la question :
This is not precisely a maths question, but it is formulated based on my maths curiosity. Fidgetting with my new graphic calculator, I started graphing things and had the idea to graph $y=(-2)^x.$ The result surprised me, and I thought a little bit about it, stored it on the back of my brain, and promised myself to look deeper into it someday.
Harley Weston lui répond.
Simplify 1/2^i 2018-01-28
Deepak pose la question :
How do I simplify this complex equation:


Penny Nom lui répond.
x^2 = -16 2016-12-12
A student pose la question :
x to the second power = -16

what number solves the equation?

Penny Nom lui répond.
The modulus of a complex number 2016-07-29
Cheyenne pose la question :
There's a question on my Summer Assignment I cant figure out. Here it is:

Find the absolute Value of the complex number. -5i

Please help?

Penny Nom lui répond.
Complex numbers in standard form 2016-01-15
Michael pose la question :
express the following complex numbers in standard form (2+3i)+(5-2i)
Penny Nom lui répond.
What is the value of |2((i)^(1/2))|? 2013-07-22
Delilah pose la question :
What is the value of |2((i)^(1/2))| ?
i.e. absolute value of 2 multiplied by square root of i.

Penny Nom lui répond.
I started with Euler's identity and manipulated it 2011-11-14
anonymous pose la question :
I started with Euler's identity and manipulated it
type it in in a calculator and you get e^pi=23.1406926... and (-1)^i=0.0432139183... What did I do wrong?

Robert Dawson lui répond.
The square root of z=3+4i 2011-10-27
dianah pose la question :
how to find the square roots of complex number, z=3+4i
Robert Dawson lui répond.
Find all the roots 2010-12-02
gagan pose la question :
find all the roots of z^5-3z^4+2z^3+z^2-3z+2
Stephen La Rocque and Penny Nom lui répond.
z^5 - 3z^4 + 2z^3 + z^2 - 3z + 2 2010-11-06
Kumar pose la question :
would you please solve this problem, related to complex numbers.

Find all the roots of :

z^5 - 3z^4 + 2z^3 + z^2 - 3z + 2

Robert Dawson and Penny Nom lui répond.
A Squared Number That's Negative 2010-09-22
David pose la question :
What is the only number that when it's squared becomes negative?
Stephen La Rocque lui répond.
Graphical Representation of Complex Numbers 2010-06-08
Anas pose la question :
why do we write complex number a+ib as (a,b)?
Janice Cotcher lui répond.
(1-i)ln(1+i) 2008-05-02
Kim pose la question :
I am stuck on the expansion of (1-i)ln(1+i)=(1-i)[ln(square root of 2)+i(3.14/4 = 2n3.14)]
Harley Weston lui répond.
Imaginary roots 2007-12-09
Josh pose la question :
What is the correlation between imaginary roots (of a quadratic or other polynomial equation) and the graph of the equation? As in, how can one represent imaginary solutions graphically (and why does that work)?
Harley Weston lui répond.
Complex numbers 2007-10-27
Dylan pose la question :
My problem is to prove:

|z|^2 = zz* Where z is the complex number x + iy and z* is it's complex conjugate x - iy.

If the absolute value of i is 1, then it looks like: |z|^2 = |x+y| |x+y| = x^2 + 2xy + y^2

And zz* = x^2 + y^2. for these to be equal, 2xy = 0. This seems wrong to me. What am I doing wrong?

Penny Nom lui répond.
(1 - i)^5 2007-07-24
sofia pose la question :
Compute the given arithmetic expression and give the answer in the form a + bi where a,b element in R. 1. (1 - i)^5
Harley Weston lui répond.
A complex number in polar form 2007-07-23
roland pose la question :
write the given complex number z in polar form lzl(p+qi) where lp + qil=1 for 3 - 4i.
Harley Weston lui répond.
Simplifying complex denominators 2007-06-21
Krys pose la question :
How do I simplify completely? ((4+i ) / (3+i )) - ((2-i ) / (5-i ))
Stephen La Rocque lui répond.
-12/(7 - i) 2007-04-18
Diana pose la question :
Perform the operation. Write all answers in a + bi form.

7 - radical -1

Penny Nom lui répond.
Using complex numbers 2007-03-12
Kara pose la question :
Do you use complex numbers in your job?
Stephen La Rocque and Penny Nom lui répond.
Exponential form of complex numbers 2007-02-12
Austin pose la question :
When dealing with imaginary numbers in engineering, I am having trouble getting things into the exponential form. The equation is -1+i now I do know that re^(theta)i = r*cos(theta) + r*i*sin(theta). Just not quite understanding the order of operations. Thanks
Penny Nom lui répond.
The absolute value of imaginary and complex numbers 2006-12-11
Keith pose la question :
i don't get how to find the absolute value of imaginary and complex numbers here is an examples from the text book the answers are given but they don't show the work so i can follow along just show me the work please and explain how it is done


Stephen La Rocque and Penny Nom lui répond.
how do i find i^22? 2006-06-12
Sky pose la question :
how do i find i22?

Stephen La Rocque lui répond.
sinh(i/2) 2006-02-09
Louis pose la question :
How can you set up an equation to find sinh(i/2)
Penny Nom lui répond.
The square root of i 2005-11-30
Kevin pose la question :

If the square root of -1 is i, what is the square root of i?

How can you find the log of a negative number?

What is the log of -1?

Claude Tardif lui répond.
z^2 = 3 - 4i 2004-03-26
John pose la question :
Solve: Z^2 = 3 - 4i
Harley Weston lui répond.
Real numbers 2003-05-09
Sirena pose la question :
what is a "real" number
Penny Nom lui répond.
a+b=10 and ab=40 2002-04-27
April pose la question :
What two numbers add to ten and multiply to forty?

(a+b=10, a*b=40)

I think the answer includes radicals and/or imaginary numbers.

Penny Nom lui répond.
The square root of i 2002-03-14
Arlene pose la question :
what is the square root of i, if i=x+yi?

what is the square root of 1-i? i'm getting problems like these in which I do not understand.

Harley Weston lui répond.
eix = cosx + isinx 2001-10-10
Peter pose la question :
Given: eix = cosx + isinx
  1. substitute -x for x to find e-ix, simplifying your answer

  2. use the given and part a to find an identity for cosx making no reference to trig functions

  3. find an identity for sinx
  4. .
  5. .

Penny Nom lui répond.
The magnitude of a complex number 2000-11-11
Jeremy pose la question :
Recently, we started studying how to graph complex numbers. Our math teacher said to use what would normally be the x-axis as the real-axis and to use the y-axis as the imaginary-axis. However, when he started talking about how to calculate magnitude, that's when I became confused. For instance...
Walter Whiteley lui répond.
Powers of i 2000-05-24
Paul Fieldhouse pose la question :
What is the result of raising i to the googol power? is there a rule or pattern to raising i by increasing powers of 10?
Penny Nom lui répond.
The square root of -1 2000-05-19
Gary pose la question :
i am not a student i am just some one that heard something and i can't be sure on the answer...my ? is what is the square root of -1? i think it is -1 but not sure can you let me know please thank you
Harley Weston lui répond.
root(-1)* root(-1) 2000-03-20
Michael Moran pose la question :
i squared = -1


i squared = root(-1)* root(-1)
= root( -1*-1)
= root(1)
= 1
-1 doesn't = 1

can you help me with my question

Claude Tardif lui répond.
Complex numbers/polar coordinates 1999-03-25
Kate Cegelis pose la question :
What is the relationship between complex numbers and polar coordinates?
Harley Weston lui répond.
Absolute value of i 1999-01-06
Wayne Bagley pose la question :
I would like to know what is the absolute value of i. I need an answer suitable for the secondary level.
Harley Weston lui répond.
Complex numbers and the quadratic formula 1998-12-25
Richard Peter pose la question :
My age is 16, and my name is Richard. My question relates to the topic complex numbers & the quadratic formula.

I would like to know how to solve quadratic equations in which the discriminant is less than 0 (i.e. we get two complex solutions to the quadratic)

3x2+2x+5 = 0

and how mathematicians like euler contributed to this field. If it would be possible I would also like to know how this type of quadratic equations can be graphed?
Harley Weston lui répond.

Complex Numbers 1998-12-23
Wayne Bagley pose la question :
I would like to know what is the square root of i , and i squared? I am looking for a response appropriate for secondary level students.
Harley Weston lui répond.
Two Problems 1998-07-28
James Pulver pose la question :
How do you solve these problem? If log abc=16 and log ac=12 , find b. (The logs are log base 10.)
If a and b are real numbers, i^2 = -1 and (a+b)+5i=9+ai what is the value of b?

Jack LeSage lui répond.
Multiplying imaginary numbers. 1997-11-03
Jim Catton pose la question :
Here is the question:

(square root -2) x (square root -8)

My algebra suggests two possibilities .

Walter Whiteley, Chris Fisfer and Harley Weston lui répond.

Complex numbers 1995-10-22
Jacquie pose la question :
Why should we teach complex numbers in high school?
Harley Weston lui répond.



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