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complex

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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
e^i*pi=-1
e^-i*pi=(-1)^-1
e^-i*pi=-1
e^-i*i*pi=(-1)^i
e^--pi=(-1)^i
e^pi=(-1)^i
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.
Complex roots 2010-04-14
Lan pose la question :
If b and c are real numbers so that the polynomial (x^2) + bx + c has 1 + i as a zero, find b + c.
Penny Nom lui répond.
Zeros of a polynomial 2010-03-01
Gavin pose la question :
Suppose the polynomial R(x) = a_9x^9+a_8x^8+...+a_1x+a_0 has real coefficients with a_9≠0. Suppose also that R(x) has the following zeros:
2,
3,
i

Using this info, answer the following.

a. What is another zero of R(x)?
b. At most how many real zeros of R(x) are there?
c. At most how many imaginary zeros of R(x) are there?

p.s. I used _ for subscript
thanks so much

Harley Weston lui répond.
A quadratic equation with roots (4-i) and (4+i) 2009-05-05
Kelly pose la question :
find a quadratic equation with roots (4-i) and (4+i)
Harley Weston lui répond.
Find a polynomial function with the indicated zeros and satisfying the given conditions 2009-03-23
Kristen pose la question :
Find a polynomial function with the indicated zeros and satisfying the given conditions. Simplofy your answer (no imaginary numbers or parentheses in the answer) Zeros: 1+2i, 1-2i, 5 ; f(-2)=1
Harley Weston lui répond.
What is i^i? 2008-12-27
randomness pose la question :
i have learnt that 'i' is square root of -1. What is then i^i ? It baffles my maths teacher...
Robert Dawson and Penny Nom lui répond.
Factor 9x^2 + 6x + 4 2008-11-21
Jonah pose la question :
how can i solve this by factoring: 9x^2 + 6x + 4
Harley Weston lui répond.
A quadratic equation 2008-06-03
Drew pose la question :
A solution of x^2-8x=-17 is

-4 or -4+I or 4 or 4+i

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.
Find the quadratic equation with roots at (3-i) and its complex conjugate 2008-04-22
Tiffany pose la question :
Find the quadratic equation with roots at (3-i) and its complex conjugate.
Penny Nom lui répond.
A complex cubic polynomial 2008-03-26
wael pose la question :
how do we solve in C the following equation:
z^3 + (5i-6)z^2 + (9-24i)z + 13i + 18 = 0 if it admits a pure imaginary root?

Harley Weston lui répond.
A complex quadratic 2008-02-18
Ash pose la question :
z^2-(6+2i)z+(8+6i)=0

Solve for Z

Steve La Rocque and Penny Nom 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.
(1+i)^(2-i) 2007-04-26
Eilis pose la question :
How do I solve (1+i) to the power of 2-i?

i.e. (1+i)^(2-i)

Penny Nom lui répond.
-12/(7 - i) 2007-04-18
Diana pose la question :
Perform the operation. Write all answers in a + bi form.

-12
---------
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

problem
3+4i

Stephen La Rocque and Penny Nom lui répond.
Is this unsolvable? 2006-09-19
Al pose la question :
Is this unsolvable???

2xy + 3x^2 - 3y + y^3 = 4x + 3 where y=3.
Penny Nom and Claude Tardif lui répond.

how do i find i^22? 2006-06-12
Sky pose la question :
how do i find i22?
Sky

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.
A graph with certain properties 2004-11-22
A student pose la question :
i was asked as a question in coursework to sketch the graph with the following characteristics:
a double root at -3
a pair of imaginary roots
an x-intercept at 6
a root at 4 which is not a double root

Penny Nom lui répond.
Imaginary roots of a ploynomial 2004-10-31
Jennifer pose la question :
how to find the roots of a polynomial equation if it would be imaginary?
Harley Weston lui répond.
(a+b) + 5i = 9 + ai 2004-06-25
Josh pose la question :
The question which someone gave you (a+b) + 5i = 9 + ai question) gave me trouble.
Penny Nom lui répond.
3+4i abd |3+4i| 2004-06-17
Sandy pose la question :
how would you do a question like |3+4i|? is that different than just doing 3+4i?
Penny Nom lui répond.
z^2 = 3 - 4i 2004-03-26
John pose la question :
Solve: Z^2 = 3 - 4i
Harley Weston lui répond.
A new way to measure randomness 2003-12-31
Stephanie pose la question :

Last year, I did a science project in which I asked, "Which shuffles better, an automatic card shuffler or shuffling by hand?" To measure this I decided the "best" shuffler was the one to become random first. Last year, to measure randomness, I numbered cards 1-52 and had the subjects shuffle them until they broke up the rising sequences or reached 10 shuffles. (Usually 10 shuffles came first...) Anyway, I did the same thing with the automatic card shuffler, and, as hypothesized, the automatic card shuffler randomized the deck first.

This year, I have decided to continue the project. The problem is, I need a new way to measure randomness without the use of fancy computers or something. I have searched the Internet, I have posted my query on websites based on math, and I have searched the local library.

I have found many useful things on the Internet, but none of them can tell me a new way to measure randomness. I cannot do a perfect shuffle, and I am not terribly gifted in the art of using computers. If you have any information (anything will help) or advice, I would be greatly obliged.


Andrei Volodin lui répond.
A triangle in the complex plane 2003-07-10
Scott pose la question :
The vertices O and A of an EQUILATERAL triangle OAB in the complex plane are located at the origin and 3 + 3i. Find all possible values for the complex number representing the vertex B. Give the location of B in both polar and cartesian form (to 2.d.p)
Penny Nom lui répond.
Real numbers 2003-05-09
Sirena pose la question :
what is a "real" number
Penny Nom lui répond.
A complex quadratic 2002-10-06
Michael pose la question :
I would like to know, how to solve this Complex number: quadratic equation. ix 2 + x -i = 0
Harley Weston 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.
Some complex problems 2001-01-15
Nick pose la question :
I am having enormous difficulty with one question in my maths homework. The question is shown below. If anybody out there can find the answers and show the workings and help me to understand.
Harley Weston lui répond.
A complex calculation 2000-11-24
Angie pose la question :
Multiply (3-2i)2=32-2(3)(2i)+(2i)2
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

but

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 Roots 2000-01-24
Jess Rutherford pose la question :
How do I find the value of k when 5x2 + k = 3x and has complex roots ?
Penny Nom 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.)
and
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.

How do you raise a number to an imaginary/complex power? 1996-07-03
Andy Golden pose la question :
How do you raise a number to an imaginary/complex power? I know how you raise "e" to a complex power, like e^(pi*i): cos pi + i * sin pi But what about numbers other than "e"? What if I want to raise 5 to the 2i power? How is that done?
Chris Fisher 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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