Questions on Algebra: Complex Numbers answered by real tutors!

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Question 1136614: Hi There
I'm really struggling with this question. How do i multiply the square root and fraction
Find all possible roots of the complex number [27/2*(√3 +j)]^1/3
Thanks

Click here to see answer by ikleyn(52747)

Question 1137639: Find all the orders of subroups of Z20?
Hi The Best Teachers online! Can you help me on this question please? Thank you! God bless!
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Question 1137640: Hi The Best Teachers online! Can you help me on this question please? Thank you! God bless!
Find all subgroups of Z36 and draw the lattice diagram for the subgroups.
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Question 1137638: Write True if the statement is correct, Otherwise write FALSE.In each case give a brief explanation.
1. Every abelian group is cyclic.
2. If H and K are subgroups of a group G, then H intersects K is a group.
3. Every permutation is a cycle.
4. Every function is a permutation if and only if it is one-to-one.
5. Every group, has a unique generator.
Hi The Best Teachers online! Can you help me on this question please? Thank you! God bless!
Click here to see answer by ikleyn(52747)

Question 1137637: Write True if the statement is correct, Otherwise write FALSE.In each case give a brief explanation.
1.The empty set can be considered a group.
2. Every group is a binary algebraic structure.
3. Every group has exactly two improper subgroups.
4. Z4 is a cyclic group.
5. In every cyclic group, every element is a generator.
Hi The Best Teachers online! Can you help me on this question please? Thank you! God bless!

Click here to see answer by ikleyn(52747)

Question 1137636: Hi The Best Teachers online! Can you help me on this question please? Find the number of elements in the set {σ ε S5 | σ(2) = 5}. Thank you God bless!
Click here to see answer by ikleyn(52747)

Question 1137875: Given that
a/b = 1- 1/2 + 1/3 - 1/4 + 1/5 - 1/6 + 1/7 - 1/8 + 1/9 - 1/10
, such that a and b have no common divisor greater than 1, find the value of a.
Click here to see answer by ikleyn(52747)

Question 1137877: 2017 students arrange themselves in a single file.
In the first round of counting, they number themselves 1, 2, 3, 1, 2, 3, 1, 2, … and so on from left to right.
In the second round of counting, they number themselves 1, 2, 3, 4, 5, 1, 2, 3, 4, 5, 1,2, … and so on from right to left.
Find the number of students whose difference between their numbers in the first and second rounds of counting is 1.
Click here to see answer by greenestamps(13195)

Question 1138546: Perform each of the indicated operation and express the result in the form a + in, where a, b € R
1. [Re[(5 + 3i) + (-1 + 2i)]]^2
2. [Im(1 + i)]^2
Click here to see answer by ikleyn(52747)

Question 1138549: Express (x + iy)(u - iv)(x - iy)(u + iv) in the form a + ib, where a, b € R
Click here to see answer by MathLover1(20849)

Question 1138877: Transform 2(cos60 + isin60) in to Cartesian form
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Question 1138938: Express -1 + √3i in polar form using principal argument
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Question 1138879: Express 2 - 2i in polar form using principal argument
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Question 1139439: For how many real values of c do we have|1/2-ci|=3/4?
Click here to see answer by ikleyn(52747)

Question 1139709: Hi there!
I have a question about complex numbers. We need to find k and the roots if 2x^2+8x+k=0 and the product of the roots is 4. Thank you so much for helping!

Click here to see answer by greenestamps(13195)

Question 1139707: Hello!
My question is about complex numbers.
I need to find the value of k and the roots of the equation 3x^2+kx+4=0, and we also know that the sum of the roots is 3.
Thank you!
Click here to see answer by josgarithmetic(39613)

Question 1140202: -8 + s
Click here to see answer by Alan3354(69443)

Question 1140416: Find the instantaneous rate of change, using the definition, of 𝑓(𝑥) = 5𝑥^2 + 4𝑥 at 𝑥 = 3.
Click here to see answer by Boreal(15235)

Question 1140418: Find the derivative using the definition of 𝑓(𝑥) = 2𝑥^(3) + 5𝑥 − 3
Click here to see answer by Boreal(15235)

Question 1140753: Using the method of completing the square, write
−1/3x^2 + 2x + 2
in the form a(x − h)^2 + k.
Click here to see answer by josgarithmetic(39613)

Question 1140623: find the square roots of 1+6i

Click here to see answer by dkppathak(439)

Question 1140623: find the square roots of 1+6i

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Question 1140967:
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Question 1141078: What is square root 7 - square root 7i all divided by 5?
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Question 1141150: simply 4i^2(6i^7-10i^9)
Click here to see answer by josgarithmetic(39613)

Question 1141576: find the root of equation for X^3=8=0
trying ans
f(1)=9
f(-2)=0
so, x=-2 is the root
x+2 is factor of f(x)
(x+2)^3=0
Click here to see answer by Alan3354(69443)

Question 1141642: How long would a day be on Earth if instead of spinning at its usual 1000 mph the Earth rotated at 28,000 mph like the fastest-spinning planet Jupiter?
They have an answer of 52 minutes but don't know how they got the answer.
How would you go about solving? Thanks in advance.
Click here to see answer by GareBare(1)

Question 1141713: If 3 sweaters cost $28.02, how much would 7 sweaters cost?The cost of seven sweaters is what?
Click here to see answer by math_helper(2461)

Question 1141946: Two numbers sum to 49.
Twice the first subtracted from the second is 7. Find the numbers.
Click here to see answer by Theo(13342)

Question 1142054: Find an equation of a polynomial function with real coefficients having zeros at 3, −1, 4+2i.
Click here to see answer by josgarithmetic(39613)

Question 1142193: Please help me with this question, Z1=e^iπ/4 and Z2=e^-iπ/3. Find the arg/z/ of z1*z2 and z1/z2.
Click here to see answer by ikleyn(52747)

Question 1142192: Please help me with this question, express the cartesian form ;e^(2+π/3)i
Click here to see answer by greenestamps(13195)

Question 1142485: Differentiate with respect to x : y=3-2x/(1+x)^2. Simplifying your answer.
Click here to see answer by math_helper(2461)

Question 1142484: Differentiate(2x+5)^2 (x-4) with respect to x
Click here to see answer by Alan3354(69443)

Question 1142484: Differentiate(2x+5)^2 (x-4) with respect to x
Click here to see answer by ikleyn(52747)

Question 1142483: Differentiate with respect to x: y=(x^4+3x^2+2x)^6 (3x^2+5x+1)^4
Click here to see answer by Alan3354(69443)

Question 1142818: if p-1/p is 5 then what is(p+1/p)2?
Click here to see answer by ikleyn(52747)

Question 54051: if modulus of (z-1)is less than 3 then prove that modulus of (iz+3-5i)is less than 8?
Click here to see answer by srimankumar45(2)

Question 1143204: Show that i=1<90 deg. Show your solution.
Click here to see answer by Alan3354(69443)

Question 1143371: How to solve for x the following
3x(2x-1)=0
2x^2+x=4

Click here to see answer by josgarithmetic(39613)

Question 1143466: Express in the from of a+ib a,b€R,i=-1^ state thr the value of a and b i(4+3i)upon1-1
Click here to see answer by greenestamps(13195)

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