Questions on Algebra: Complex Numbers answered by real tutors!

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Algebra: Complex Numbers

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Question 178489: I need help to resolve
Multiply (1/2 + i)^2
Click here to see answer by jim_thompson5910(13787)

Question 178516: Simplify (4x+4/4x^2-1)+(3/1-2x) Thank you.
Click here to see answer by Mathtut(3670)

Question 178513: Simplify (1/2x+1/4)/(4/x^2-1)Thank you for your help.

Click here to see answer by Mathtut(3670)

Question 178759: -i4
A) -1
B) 1
C) i
D) -i

Click here to see answer by Mathtut(3670)

Question 178760: (-1 + [SQRT(3)]i)3
A) 2 + 2[SQRT(3)]i
B) -2 - 2[SQRT(3)]i
C) 0
D) -8
E) -8 + 8[SQRT(3)]i
F) 8
Click here to see answer by Mathtut(3670)

Question 178761: 18. Let z = a + bi represent a general complex number. As noted in the lesson, the conjugate of z, abbreviated conj(z) or conj(a + bi) is the complex number a-bi. Also, the modulus of z, modulus(z) is the "size" of z, or SQRT(a2 + b2). Which of the following is true for all complex numbers?
A) All of the following
B) z*conj(z) = [modulus(z)]2
C) z + conj(z) = 2a
D) z - conj(z) = 2bi
E) None of the above
19. Using the definition of “size” of z from problem #18, which of the following is largest?
A) 3i
B) -7
C) 4
D) -2i
E) 4 + 4i
FNone of the above
Click here to see answer by solver91311(5072)

Question 178955: Can someone please help me with these five question!?!?! Please and thank you sooooooo much!!!
http://tinypic.com/view.php?pic=noykjm&s=5
http://tinypic.com/view.php?pic=2cs6x61&s=5
http://tinypic.com/view.php?pic=25r1lsi&s=5
http://tinypic.com/view.php?pic=54ynnb&s=5
http://tinypic.com/view.php?pic=2m3h5l2&s=5

Click here to see answer by Mathtut(3670)

Question 179227: Evaluate the limit, if it exists:
16-x^2/x^3-64
(x approaches 4)
.
The answer is suppose to be 0, but i can't seem to get that answer!
Click here to see answer by solver91311(5072)

Question 179261: Help me factor this please!
.
x^3+x^2-5x+3/x^2-2x+1

Click here to see answer by stanbon(26259)

Question 179316: x^3+x^2-5x+3/x^2-2x+1
.
How can you get the answer above to equal 4?
Click here to see answer by Mathtut(3670)

Question 179377: Solve x^2+x/x+1
as x approaches -1)
Click here to see answer by jim_thompson5910(13787)

Question 179377: Solve x^2+x/x+1
as x approaches -1)
Click here to see answer by solver91311(5072)

Question 179438: How do you factor this so that the final answer is 0?
.
x^2-16/x^2-5x+6
(as x approaches 4)
Click here to see answer by Alan3354(6059)

Question 179461: How do you solve this so the final answer equals 2/3?
(2x+1)^(1/3)-1/x
As x approaches 0
Click here to see answer by Edwin McCravy(2920)

Question 179460: (√x^2-5x-6)/(x-3)
(As x aproaches 6)
The answer should be 0!
Click here to see answer by jim_thompson5910(13787)

Question 179460: (√x^2-5x-6)/(x-3)
(As x aproaches 6)
The answer should be 0!
Click here to see answer by Edwin McCravy(2920)

Question 179517: 1.(-4+2i)+(6-3i)
2.6√-12
3.√-8*√-32
4.i^65

5.i^89
Click here to see answer by stanbon(26259)

Question 179516: 1.(-4+2i)+(6-3i)
2.6√-12
3.√-8*√-32
4.i^65

5.i^89
Click here to see answer by Alan3354(6059)

Question 179568: Find the value(s) of x at which the functions are discontinuous on this piecewise function, show how, thanks!
h(x) ={-x, (x <(or equal to) 3)
.........{1-x, (x>3)

Click here to see answer by Mathtut(3670)

Question 179579: 4-2i ÷ 3+i

-5-3i ÷ 2-2i
Click here to see answer by Mathtut(3670)

Question 179620: 1.3+i√5
________
3-i√5

2.4-i√2
__________
i√2
Click here to see answer by Mathtut(3670)

Question 179623: can u help me with these exercises?

1.3+i√5/3-i√5

2.4-i√2/i√2

Click here to see answer by stanbon(26259)

Question 179689: How do you simplify i^-33. I'm not sure how to deal with the negative exponent. Please help.
Click here to see answer by jim_thompson5910(13787)

Question 179689: How do you simplify i^-33. I'm not sure how to deal with the negative exponent. Please help.
Click here to see answer by Mathtut(3670)

Question 180068: 3(x+5)^=24

Click here to see answer by Alan3354(6059)

Question 179946: u=(3,2+i,-i),v=(0,3-i,2),w=(3-i,-2,1+i)
compute the following

Click here to see answer by Fombitz(2113)

Question 180213This question is from textbook sullivan algebra and trigonometry
: xcubed-8=0 This question is from textbook sullivan algebra and trigonometry

Click here to see answer by Mathtut(3670)

Question 180327: 2X-5Y=2
Click here to see answer by Alan3354(6059)

Question 180780: 2 + i/ i + 5
Click here to see answer by stanbon(26259)

Question 180850: a boy buys x eggs at (x-8) cents each and (x-2) rashers of bacon at (x-3) cents each. if the total bill is $1.75, how many eggs does he buy?
Click here to see answer by edjones(3292)

Question 181401: My teacher proved that -1 = 1, homework is to find out what is wrong with the proof. I cant do it. Help, thanks Mick.
-1/1=1/-1
....Take the square root of both sides;-
(-1/1)^.5=(1/-1)^.5
....Take the square root of each term;-
(-1)^.5/(1)^.5=(1)^.5/(-1)^.5
....Sq Root -1 = i Sq Root 1 = 1;-
i/1=1/i
....Cross multiply;-
i^2=1^2
....Sq Root i is -1 and SqRoot 1 is 1;-
-1=1
....QED
Thanks for any help again.
Click here to see answer by solver91311(5072)

Question 181520: What is the most reduced answer to 8 squared to the 3/10ths power?
Click here to see answer by Alan3354(6059)

Question 181523: In the problem, -5x squared minus 300=0, what is x?
Click here to see answer by Fombitz(2113)

Question 181522: What is 2-3i divided by 3-2i?
Click here to see answer by Alan3354(6059)

Question 181518: What is 6 divided by 2+3i?
Click here to see answer by Alan3354(6059)

Question 181526: What is the answer to -2 + (the square root of 9-5x)> or equal to 6?
Click here to see answer by ankor@dixie-net.com(6691)

Question 181530: What is the answer to(the square root of 2x-7) < or equal to (the square root of x+2)?
Click here to see answer by solver91311(5072)

Question 181703: cam amybody help me wtih how to do this:
x to the second power = -64
x to the second power + 48= 0
Click here to see answer by Mathtut(3670)

Question 181703: cam amybody help me wtih how to do this:
x to the second power = -64
x to the second power + 48= 0
Click here to see answer by stanbon(26259)

Question 181706: I need help with:
2x^2-9=3x^2
4(x-2)^2=-1

Click here to see answer by stanbon(26259)

Question 182044This question is from textbook saxon algebra 2
: Factor: x^2 - 275-11x + 25x
Not sure what to do here!This question is from textbook saxon algebra 2

Click here to see answer by jim_thompson5910(13787)

Question 182040This question is from textbook saxon algebra 2
: Simplify 7/x + 1/x +5 all this over 4x/x +5.
I haven't a clue.This question is from textbook saxon algebra 2

Click here to see answer by eperette(173)

Question 182450: (3+5i)/(3-5i)
Click here to see answer by jim_thompson5910(13787)

Question 182634: please help me solve this.
I don't know how to start.
(3+10i)^2

Click here to see answer by jim_thompson5910(13787)

Question 182634: please help me solve this.
I don't know how to start.
(3+10i)^2

Click here to see answer by Alan3354(6059)

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