Complex Numbers

Welcome to the Complex Numbers category on Questions LLC! Whether you're a beginner or an expert in mathematics, this category is dedicated to exploring the fascinating world of complex numbers. Here, you will find an array of questions related to this unique field of study, ranging from basic concepts to more advanced topics. Complex numbers, which consist of a real part and an imaginary part, have profound applications in various scientific fields, engineering, and even computer programming. So, whether you're seeking to deepen your understanding of complex numbers or looking for help with a specific problem, you've come to the right place. Join us in unraveling the mysteries and intricacies of complex numbers!

Questions (959)

Find all the values of log(3-2i)
1. 4 answers
2. asked by ji
3. 6,099 views
Write z = 2(sqrt)2 + 2(sqrt)2i in polar form.z = 4(sqrt)2 (cos pi/4 + i sin pi/4) z = 4 (cos pi/4 + i sin pi/4) z = 4 (cos 5pi/4
1. 7 answers
2. asked by Max
3. 5,802 views
Find w=a + bi = √z , where a and b are real numbers.√-60i-11
1. 4 answers
2. asked by anonymous
3. 4,080 views
Let a=5/13 + 12i/13 and b=2-3i. The function h(z)=a*conj(z)+b$ represents a reflection in the complex plane. What is the line
1. 4 answers
2. asked by Jakob
3. 1,264 views
Which expression is the is a fourth root of -1+i sqrt31. the fourth root of 2 (cos(280 degrees)+i sin(280 degrees)) 2.the fourth
1. 4 answers
2. asked by Lisa2020
3. 2,719 views
Convert the polar form of the complex number into rectangular form.z = 3 sqrt 2cis 7pi/4 Show all your work. Show how you
1. 4 answers
2. asked by cal
3. 122 views
if b is a real number satisfying b^4 + 1/(b^4) = 6, find the value of :-(b + i/b)^16 where i = sqrt of -1
1. 5 answers
2. asked by ...........
3. 782 views
Find the square of the complex number 2 - 2i and write the answer in the form a + biwhere a and b are real numbers
1. 6 answers
2. asked by lala
3. 929 views
(x+3i)²=2yiComplex equation Answer plz
1. 7 answers
2. asked by asad
3. 3,857 views
Let $\omega$ be a complex number such that $\omega^7 = 1$ and $\omega \neq 1$. Let $\alpha = \omega + \omega^2 + \omega^4$ and
1. 5 answers
2. asked by Bobby
3. 4,482 views
Write the complex number 6-6i in polar form with argument θ between 0 and 2π.
1. 4 answers
2. asked by Hannah
3. 3,432 views
Find all cube roots of the complex number 64(cos(219°)+isin(219°)) . Leave answers in polar form and show all work.
1. 5 answers
2. asked by Unknown
3. 10 views
Find real numbers x and y such that 3x+2iy-ix+5y=7+5i
1. 7 answers
2. asked by moyo
3. 6,058 views
3. find the four angles that define the fourth root of z1=1+ sqrt3*iz = 2 * (1/2 + i * sqrt(3)/2) z = 2 * (cos(pi/3 + 2pi * k) +
1. 4 answers
2. asked by Anonymous
3. 4,037 views
How can I write (1+i)^101 in its simplest form? The answer is: 2^50(1+i), but I do not know how to get to that.
1. 3 answers
2. asked by Victoria
3. 685 views
Express z1=0+10i in polar form.Please help as I am confused on what to do as they have a 0 there and when I try plugging it in
1. 5 answers
2. asked by asdfghjkl
3. 733 views
Any number in the form of a+-bi , where a and b are real numbers and b not equal 0 is considered a pure imaginary number. TRUE
1. 11 answers
2. asked by Robert
3. 13,736 views
Express the complex number in polar form. 5-12i
1. 5 answers
2. asked by Alexis
3. 1,727 views
Find the two square roots of 5-2i in the form a+bi, where a and b are real.Mark on an Argand diagram the points P and Q
1. 4 answers
2. asked by GG
3. 2,662 views
Simplify the expression -5+i/2iI typed this problem into mathway and they told me the answer was 1/2+5i/2 but wouldn’t show me
1. 5 answers
2. asked by Samantha
3. 9,463 views
The equation of the line joining the complex numbers -5 + 4i and 7 + 2i can be expressed in the form az + b*overline{z} = 38 for
1. 4 answers
2. asked by Sam
3. 1,597 views
find the fifth roots of -32i
1. 3 answers
2. asked by joe
3. 552 views
When -24 + 7i is converted to the exponential form re^{i \theta}, what is cos(theta)?
1. 4 answers
2. asked by Joe
3. 1,542 views
Which answer shows the conjugate pair solutions to the equation x2−3x+8=−2 ?(1 point)Responses −32±i31√2 negative Start
1. 1 answer
2. asked anonymously
3. 230 views
Question: If z1 , z2 ,z3 are complex numbers and |z1|=|z2|=|z3|=1 and (z1)^3+(z2)^3 + (z3)^3 +z1*z2*z3=0 find the maximum and
1. 1 answer
2. asked by Shenaya
3. 824 views
The complex number z satisfies the equation z+2iz*=12+9i. Find z giving your answer in the form x+iy.
1. 6 answers
2. asked by KerryJ
3. 2,884 views
How do I go about finding the solutions to the followingx^2-6x+25=0 I know the answer is 3-4i and 3+4i however, I do not know
1. 4 answers
2. asked by Allie
3. 427 views
Determine the two square roots of 3+j4 in both a)Cartesian formb) Polar form Any help with this question would appreciated
1. 3 answers
2. asked by jon smith
3. 1,937 views
Find the following product.(3+i)(3−i)=
1. 1 answer
2. asked by Dan
3. 78 views
(1+(2*I))/(3-(4*I))+2/5=(I-2)/(5*I)
1. 2 answers
2. asked by Hamza
3. 69 views
This is the problem you helped me with. I was curious, do I write the solution set as (1 + i3�ã3)/2,(1-i3�ã3)/2 change it to
1. 1 answer
2. asked by Sabrina
3. 381 views
What is the product of a complex conjugated?The product of complex conjugates is a difference of two squares it is always a real
1. 4 answers
2. asked by Lacey
3. 2,401 views
simplify the number using the imaginary unit i √-28
1. 9 answers
2. asked by the world forgot
3. 5,491 views
Write the expression as a complex number in standard form. 3-3i/4iI'm not sure about this problem, but I think the answer is
1. 4 answers
2. asked by Jennie
3. 1,247 views
demoivre theorem(2sqrt3+2i)^5 r=(2sqrt3+2)^2
1. 3 answers
2. asked by LK
3. 787 views
Multiply:5(cos Pi/3 + i sin Pi/3)times 2 (cos Pi/4 + i sin Pi/4) and leave the answer in trigonometric notation.
1. 1 answer
2. asked by Jackie
3. 363 views
1-6i x 1+6i=37explaian why
1. 2 answers
2. asked by T
3. 65 views
Find the roots of z^3=1 using De Moivre theorem
1. 2 answers
2. asked by .
3. 83 views
Find the roots of z^3 = 1 in polar form
1. 2 answers
2. asked by .
3. 65 views
3√-3 3/8
1. 2 answers
2. asked by Vvv
3. 64 views
Techniques of complex number
1. 1 answer
2. asked by Fuad Faji Jemal
3. 68 views
put this in trigonometric form:-3-i
1. 5 answers
2. asked by bill
3. 384 views
Convert the rectangular form of the complex number2−2i into polar form. Show all work and label the modulus and argument.
1. 4 answers
2. asked by help
3. 130 views
Which of the following is equal to the expression?(3i)²
1. 4 answers
2. asked anonymously
3. 46 views
find the 2 square roots of -36+36(sqrt)3i
1. 7 answers
2. asked by please help me
3. 64 views
Given z_1=2(cos pi/6+i sin pi/6) and z_2=3(cos pi/4 +i sin pi/4) find z_1z_2 where o<theta<2pi
1. 10 answers
2. asked by Beanieboi
3. 71 views
11. j7•j1 (1 point)j8 j7 (2j)8 (2j)7
1. 11 answers
2. asked by I need help
3. 46 views
Write z=-6+6i in polar form
1. 4 answers
2. asked by Beanieboi
3. 72 views
Chose a power ofi (with an exponent 13 or higher) that is equivalent to : i^3 3 . Explain how you arrived at your answer.
1. 2 answers
2. asked anonymously
3. 82 views
Examples of complex number
1. 2 answers
2. asked anonymously
3. 21 views

Complex Numbers

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