Questions on Algebra: Complex Numbers answered by real tutors!

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Question 927950: Write the following number in polar form of re^itheta.
-2-2i. I found the r, which is r=2sqrt(2) or 2.82843. What would theta be?
Click here to see answer by tommyt3rd(5050)

Question 938441: is - sq rt 4 a rational or irrational number and why.
Click here to see answer by algebrahouse.com(1659)

Question 938513: 10/3i
-9-5i/8i
Click here to see answer by Alan3354(69443)

Question 938566: What is i^i?
Click here to see answer by Alan3354(69443)

Question 938813: z is the complex number 1+i, where i^2=-1.
(i) Find z^2 and z^3.
(ii) Verify that z^4=-4.
Click here to see answer by ewatrrr(24785)

Question 939580: Write 4^20 x 5^42 in scientific notation
Click here to see answer by josgarithmetic(39617)

Question 939580: Write 4^20 x 5^42 in scientific notation
Click here to see answer by Alan3354(69443)

Question 939790: Hey guys i was wondering if you guys could help me with this equation, please list the steps, im pretty confused. Thank you very much!!
5+(5/x-1)/5-(5/x-1), the answer to the solution is x/x-2 but i need to know how, thank you.
Click here to see answer by algebrahouse.com(1659)

Question 940979: If |z|<0.5, show that|(1+i)z^3+iz|<0.75
Thanks!! :)
Click here to see answer by richard1234(7193)

Question 941938: Hi,
I have a really tricky exercise at complex numbers.Can you please give some hits in order to solve it.The exercise says that:
z1=-5+4*i
z2=k+6*i
Find k such that: (z1+z2)/z1+i
I found the complex conjugate of z1+i which is -5-5*i and I multipied the top and bottom with this conjugate and I have got : (75-25*i-5*k-5*i*k)/(-5-5*i) and from here I don't know what to do
Thank you so much.Hope you have a wonderful day
Click here to see answer by richard1234(7193)

Question 942146: Hi,
Can you help me with this exercise,please
It says the following
z1=-5+4i
z2=K+6i
Find k such that:
(z1+z2)/z1+i
I found the complex conjugate of z1+i which is :-5-5i and then I multiplied top and bottom with this conjugate and I've got a really big fraction which I don't know what to do with it.Can you plese help me with this
Thank you so much

Click here to see answer by richard1234(7193)

Question 942225: Solve the following pair of simultaneous equations by plotting them on the same graph.
X+y=3 5y-3x=7
Click here to see answer by macston(5194)

Question 942225: Solve the following pair of simultaneous equations by plotting them on the same graph.
X+y=3 5y-3x=7
Click here to see answer by TimothyLamb(4379)

Question 943445: (-7+6i)+(2+6i)+3i
Click here to see answer by MathLover1(20850)

Question 943448: i^26
Click here to see answer by jim_thompson5910(35256)

Question 943447: (8+5i)^2
Click here to see answer by nerdybill(7384)

Question 943621: willy is y years and his father is 11 years less than 3 times willys age. what represenrsthe sum of their ages
Click here to see answer by jim_thompson5910(35256)

Question 943686: Solve for I E=Ir+IR
Click here to see answer by ankor@dixie-net.com(22740)

Question 943823:
Write your answer as a complex number in standard form.
6/-2-5i
Click here to see answer by Alan3354(69443)

Question 944302: How to write the quotient is standard form?
11/2-i
Click here to see answer by Alan3354(69443)

Question 944460: find the roots of z^2+2z+10=0
Click here to see answer by etutorworld(19)

Question 944779: I am not sure how to solve this. I can't use L'Hopital's rule for it.
lim x-> 2, ((3x-5)/(x-2))
Thank you very much!

Click here to see answer by richard1234(7193)

Question 944774: Hello
I am completely stuck on this question. I would appreciate any help possible! Also, I can't use L'Hopital's rule on this question.
lim x->2, ((sqrtx-sqrt2)/(x-2))
Thanks!

Click here to see answer by Fombitz(32388)

Question 944970: I am not sure how to work this out. I would appreciate any help. Thanks!
Let "c" be a number and consider the function f(x) = { ax^2 -5, if x <1
c, if x =1
(1/x)-2a, if x > 1 }

a) Find all numbers for "a" such that lim x-> 1 f(x) exists
b) Is there a number "c" such that f(x) is continuous at x=1?

Click here to see answer by Fombitz(32388)

Question 945089: Find the solution to the equation
(z^2-2)(z^3+i)=0
Click here to see answer by Fombitz(32388)

Question 945088: Find the solution of the equation:
(z^2-2)(z^3+i)=0
Click here to see answer by Fombitz(32388)

Question 945530: find the derivative of (x-2)^2/x using the limit definition?
I used the derivative rules and got 2(x-1)/x but when I do it with the definition I get 2x-2/x so I am wondering where I went wrong.Here's what i have so far
limt f(x+h)-f(x)/h
(x+h-1)^2/(x+h)-(x-1)^2/x/h
= x(x+h-1)-(x-1)^2(x+h)/(x+h)(x)
I tried cross multiplying them and then foil the values in the brackets that are to the power of two but I seem to be doing something wrong. Could someone show how to do this step-by-step and explain it. that would be great
Click here to see answer by josgarithmetic(39617)

Question 945600: find the derivative of the following function using the limt defintion
((x-1)^2)/(x)
I can know the answer is 2.(x-1)/(x) but I keep getting it wrong when using the defintion. could you show me step-by-step how to get that final answer?
Click here to see answer by Alan3354(69443)

Question 945634: For any integer "n", find i^(4n+a) when "a" takes on the following values.
3 & 2
Please show all work-- I don't understand this type of problem
Click here to see answer by richard1234(7193)

Question 945655: 2
-------
x-1
-----------
1 3
--- - -----
x x-1
Click here to see answer by josgarithmetic(39617)

Question 945908: 1/2 √(|2-3i|+a)� i√(|2-3i| )-a
Click here to see answer by josgarithmetic(39617)

Question 945971: Fid the distance between the two points. Give an exact answer, and where appropriate, an approximation to three decimal places.
(-0.2,2.7) and (6.7,-6.5)
Click here to see answer by MathLover1(20850)

Question 945982: What is (7+2i)-(3+3i)?
Click here to see answer by Edwin McCravy(20056)

Question 946149: what are the steps in factoring 6w^4 -54w^2 ?
Click here to see answer by rfer(16322)

Question 946155: What steps do I take to factor each polynomial of:
1x-xy-20x2 y2

Click here to see answer by Alan3354(69443)

Question 946174: How do I factor this by showing steps taken
1-xy-20x^2 y^2
Click here to see answer by Alan3354(69443)

Question 946197: How do I solve for the variable in this equation? 3(x+2/5)= x-1/3. I can't remember how to solve this, and I can't refer to the notes I took because they have been collected. This is an online class.
Click here to see answer by ankor@dixie-net.com(22740)

Question 946310: how do I show the steps to factor 6w^4-54w^2
Click here to see answer by Alan3354(69443)

Question 946794: x^4 +x+1. what is the solution

Click here to see answer by Fombitz(32388)

Question 946986: simplify the complex fraction
4
-----
x+3
-----
1/x + 3
Click here to see answer by josgarithmetic(39617)

Question 946986: simplify the complex fraction
4
-----
x+3
-----
1/x + 3
Click here to see answer by MathTherapy(10552)

Question 947051: -1-8i-4-1
Click here to see answer by Fombitz(32388)

Question 947128: Simplify and state any restrictions on the variables.
(x)/(4x-8) - (x+1)/(x^2 + 2x - 8)
Click here to see answer by MathLover1(20850)

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