Questions on Algebra: Complex Numbers answered by real tutors!

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Question 122065: Find (1 / sq. rt. 2 + i / sq. rt. 2) ^ 8

a.) -8
b.) 256
c.) 8
d.) 1
e.) None of these

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Question 122139: (7/(5x-10))-(3/20)=(7/(4x-8))
please solve I got outrageous numbers
my answer was:
x=(30/36)+or-the square root of (707/36)i

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Question 122353: What is the solution to ?
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Question 122361: I am having trouble. I transferred from a school where they plop a book in front of you and you just do the problems. Everyone was in different books, and the teacher never left his seat, and he never spoke about anything related to the class. They didn't even give me the basics. I learned as I went. The school I am in now requiers that I know this because I am in Algebra 1. Is there a book or site that can help me get the basics? Thnx alot for your help.
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Question 122393This question is from textbook
: what are the real and imaginary numbers of
-5 + 6i
am i right imaginary = 6
real = -5
This question is from textbook

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Question 122500: Ok yesterday we were working ont his homework in class, but for the sake of time, on the notes we took we skipped the last two on the sheet. When I can upon this question I realized we had done nothing like it in our notes that day.
The question is:
If y varies directly with x and y is 40 when x is 25, what is x when y is 36?
Please help and thank you for your time!

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Question 122888: This test is very difficult and any help would be so very much appriciated, please reply asap. The problem is:
Please Simplify
3-5i
2+7i

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Question 122703: determine whether the realtion is a function (4,0) (4,1) (5,2) (6,3) (6,4)
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Question 123256: find (3-3i) raised to the 6th power. write answer in standard form
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Question 124340: If 3i(2+5i)=x+6i,then x+= ?
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Question 124808: Give answer in a + bi form.
-4/i^10

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Question 124825: Give answer in a + bi form.
4 - 5i / 2 + 3i

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Question 125695: Please help me solve: 6/i - 8/8-i. Combine and write the answer in standard form.
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Question 125695: Please help me solve: 6/i - 8/8-i. Combine and write the answer in standard form.
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Question 126073: 1/2+-1/2/h
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Question 126363: 1. 1 + i divided by 3 - 2i =
2. x{2} - 3 = 0
3. 4 divided by 5 - i =
4. x{2} + 2x + 5 = 0
5. -2x{2} + 3x = 3 = 0
6. x{2} + 3x - 2 = 0

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Question 126548This question is from textbook College Algebra
: (3+2 square root -18) (2+2 square root -50)This question is from textbook College Algebra

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Question 126999:
i need help in this equation i guess 2xsqrd-5x+3=0

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Question 128130: I am a homeschooling mom. I have come across these problems. I don't understand how it works. I want to be able to understand in order to teach my kid the right way.
Here are the problems in one 'sentence': ( if you see the dashes between these numbers - that is division. And..as for the # 3 and # 4 ...I have been unable to get the denominator to look the way it should... under the first combination it is divided by 2x; and the second combination, it is divded by an x.

1.
3/2 + 3/x
--------- =
2+4/x


2.
(3/2+3/x)/(2+4/x)=


3.
(3x+6)/(2x+4)
----- ---- =
2x x



4.
3x+6 * 2x+4
---- ---- =
2x x


5.

-----------


I would very much appreciate your explanation and how you arrive to the answer..and please make it in layman's terms. Thanks.

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Question 128835: Find the roots of z^6=1 for z complex. Show that the sum of the roots you found is zero.
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Question 128862: (-2-4i)+(3-6i)
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Question 128862: (-2-4i)+(3-6i)
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Question 128866: (5-4i)(3+6i)
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Question 128865: (5-8i)-(2+9i)
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Question 128864: (5-8i)-(2+9i)
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Question 128863: (4+2i)-(-1+5i)
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Question 128884:
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Question 129163: multiply the complex numbers
(3+2i)(3-2i)
I think it is done like this.
9-6i+6i-4i^2
cancel out the 6's
9-4i^2
multiply the -4x-1
9+4
13+0i

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Question 129163: multiply the complex numbers
(3+2i)(3-2i)
I think it is done like this.
9-6i+6i-4i^2
cancel out the 6's
9-4i^2
multiply the -4x-1
9+4
13+0i

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Question 129251: Can you please help me with this problem:
(5- the square root of negative 36) + (3- the square root of negative 16)
I know these negative square roots are imaginary numbers, I just don't understand how to solve them. Thank you for your time.
-Leah

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Question 129251: Can you please help me with this problem:
(5- the square root of negative 36) + (3- the square root of negative 16)
I know these negative square roots are imaginary numbers, I just don't understand how to solve them. Thank you for your time.
-Leah

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Question 129342: Simplify


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Question 129330: Solve for N if 6! x 7! = N
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Question 129353: What is N , if N! is 3,628,800?
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Question 129688: x^2-2x+26=0 I have to factor this with complex numbers.
so I tried but I'm not sure if I did it right or if I can reduce my square root by 2. Here are the steps I took.
x={-(-2)+-the square root of -2 -4(1)(26)}/2
x= {2+- the square root of -108}/2
x= {2+- the square root of 108i}/2
x= 2/2 +- the square root of 108i/2
x=1+- the square root of 108i/2
and that's where I'm stuck at can I divide 108 by 2 even though 108 is in a square root?

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Question 129745: State the zero for the function. f(x)= 4x+12
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Question 130377: Use De Moivre's Formula to find (-1+2i)^36
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Question 129031: how do i solve 5i-(-15i)
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Question 130776: write the expression a a complex number in stsandard form.
(2-6i)-(-10+4i)

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Question 130708: how do i figure out the solution for: (3√-7)(2√-8)?? Thank you for any help
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Question 131877: could you tell me if I'm right on this problem?
(3-i)/ (1+i) = 4+2i I wasn't sure how to solve it,because of the divide sign.
Thank you for your help in advance,and have a great day! LH

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Question 132348: I need some help with integrals. Here is one a do not get: intergral of (e^x)/(1+e^x)^2 with the min 0 and max 2
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Question 132732:
please help me i do not understand ((3y+15)/y) / ((y+5)/y)

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Question 132966This question is from textbook
: Solve for x and y.
5x+(y-3)i=x-4+6yi
This question is from textbook

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Question 132961: Simplify and write answer in the form of a+bi.
2-3i/5-4i

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