Questions on Algebra: Complex Numbers answered by real tutors!

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Question 61638: Please help i have tried to figure this out and I am at a loss. I think you start out by using foil...
Write answer in standard form . Assume k is a positive interger.
[(x-1)+5i][(x-1)-5i]
Click here to see answer by joyofmath(189)

Question 61644: Thank you!!
Square root of 3+2i
---------------------divided by
Square root of 3-2i
I know you have to multiply the denominator to both top and bottom then i got lost.
Click here to see answer by stanbon(57219)

Question 61672: Why do we call the polar angle of complex number an argument???

Click here to see answer by Edwin McCravy(8879)

Question 61631: I also have a problem with this one, Thank you all!

Solve for x and y
x+2i=5-yi-3-4i
Click here to see answer by ankor@dixie-net.com(15623)

Question 61786: Find the set of all complex solutions.
-27=0
Click here to see answer by venugopalramana(3286)

Question 61630: Solve for x and y
2/3-2yi=2x+4/5
I was doing okay with my homework and then I ran into this one and was lost. Thank you for your help.
Click here to see answer by ankor@dixie-net.com(15623)

Question 62071: I'm having a hard enough time in Algebra - now they want me to deal with "imaginary" numbers? I'm having trouble with simplifying (using i):
sqrt(-8) + sqrt(-50)
can someone help, please?
Click here to see answer by ptaylor(2048)

Question 62093: Just why do we need "imaginary" numbers - the real ones are hard enough... Please, can you help me with:
(2i)/(-1+6i)
Click here to see answer by Earlsdon(6287)

Question 62092: Please, I need help with complex number division:
(4-i)/(5+i)
Click here to see answer by funmath(2925)

Question 62092: Please, I need help with complex number division:
(4-i)/(5+i)
Click here to see answer by Earlsdon(6287)

Question 62123:
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Question 62122:
Click here to see answer by funmath(2925)

Question 61673: sir,
i am doing B.Sc(maths) 1st year at madurai kamaraj university through distance education. when i refered 11th books i couldn't understand some steps.
please explain me.
represent the complex number in the polar form
let z= -square root of 3+i
here a=-square root of 3,b=1
r=2
cos theta=-square root of 3/ 2
sin theta=1/2
tan theta=-1/square root of 3
tan theta=-tan(pi/6)(till this i understood)
here they have given theta =150(how this has came) explain me
the same doubt in another problem
the question is write the complex number 1-square root of 3(i)
r=2
cos theta=1/2
sintheta=-square root of 3/2
tan theta=-1/square root of 3
tan theta=tan(-1/square root of 3)
here they have given theta =-60 (explain me)

Click here to see answer by stanbon(57219)

Question 62402: 31.) (a+3i)+(2+bi)=i
33.) (5-the square root of -4)-(a+bi)=6
I know how to do the problems that do not have an equal to (ie =i or =6) but I do not understand how to do these. Please help
Click here to see answer by stanbon(57219)

Question 62623: write the number in standard complex form
20- sqrt of -8
Click here to see answer by stanbon(57219)

Question 62622: 20- sqrt of -8
Click here to see answer by checkley71(8403)

Question 62849: i'm just having a little trouble on how to simplify the exponents on imaginary numbers.
for instance:
in the problem , i know the answer should be -5, (that's what google said, anyway)
what i dont understand is *why* this is
i also understand the pattern of i, -1, -i, 1 (referring to i to the powers of 123 and 4, respectively)
so i was just wondering if you could shed some light on the subject for me
thanks so much
Click here to see answer by venugopalramana(3286)

Question 62915: express each answer in the form a+bi
25 over 1+2i would you multiply both top and bottom by 1-2i?
Click here to see answer by funmath(2925)

Question 63098: (6 - i)/ (4+7i)
thank you
Click here to see answer by funmath(2925)

Question 63024: Solve. Write all apparent solutions. Cross out those that are extraneous
THE SQUARE ROOT OF u-3 - THE SQUARE ROOT OF u =3
[the square root of u-3 (minus) the square root of u (equals) 3]
Click here to see answer by funmath(2925)

Question 63125: Given the zeros, 2-i, 1, 2, write a polynomial function of least degrees that has real coefficients, anda leading coefficient of 2.
I know it starts out like::: 2(x-1)(x-2)
But I get really confused on how to put the 2-i part in. I really would like your help, as my friends don't get it either.
Thank you very much,
E
Click here to see answer by Nate(3500)

Question 63365: Find the coefficent of x^5y^5 in the expansion of (2x+3y)^10
thank you
Click here to see answer by venugopalramana(3286)

Question 63489: When we draw the complex number i as a point in the complex plane, its coordinates are
a. (0, i )
b. (1,0)
c. (0,1)
d. The number i cannot be drawn as a point in the complex plane
When we add the two complex numbers a + bi and c + di by representing them as points in the complex plane, then the sum is represented by
a. The corner of a rectangle whose other three corners are (0,0), (a,b), and (c,d)
b. The corner of a triangle whose other two corners are (a,b) and (c,d)
c. the corner of a parallelogram whose other three corners are (0,0), (a,b), and (c,d)
d. None of the above
Just like we do for the real numbers, we can draw a picture of the complex numbers simply by drawing a line.
a. True
b. False

The Division Algorithm for Polynomials and the Factor Theorem for Polynomials (which we proved when the polynomials have real number coefficients) are both TRUE even if the coefficients of the polynomials come from the complex numbers.
a True
b. False

Click here to see answer by stanbon(57219)

Question 63498: Express the argument in degrees.
1-sqrt3i

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Question 63536: simplify 4-6i/4+6i and express in the form of a + bi
Click here to see answer by stanbon(57219)

Question 63535: simplify 5-4i/-6+7i express in the form of a + bi
Click here to see answer by venugopalramana(3286)

Question 63533: simply 5/i expressed as a+bi
Click here to see answer by josmiceli(9647)

Question 63567: please help
reduce 64y^3+27z^3 / 4y+3z
Click here to see answer by stanbon(57219)

Question 63567: please help
reduce 64y^3+27z^3 / 4y+3z
Click here to see answer by josmiceli(9647)

Question 63566: could someone help
simplify the expression a^-2b^3c^-2 / 4^1/2a^4bc^-1
this one is really confusing me
Click here to see answer by stanbon(57219)

Question 63534: simplify -5 + 7i/7i expressed as a + bi
Click here to see answer by praseenakos@yahoo.com(507)

Question 63564: need help on this one
(x^3+8x^2+21x+20) / (x+4)
Click here to see answer by josmiceli(9647)

Question 63683: PLZPLZPLZZ......DEFINITELY NEED UR GUYZZ HELP ON THIS ONE.....UR HELP WILL BE THE MOST APPRECIATED THANK UU VERRY VERRY MUCH...OK HERES THE PROBLEMM:
TAKE THE NUMBER 2, 7, 8 AND 9--AND ONLY THOSE NUMBER AND USE ANY OPERATION AND OCMBINATIONS TO GET TO THE NUMBER 24.....BASICALLY U MAY DO ANY COMBO OF OPERATIONS TO GET TEH ANSWER 24......I CNT FIND THE ANSWER....HEEELLLLLPPP PLZ PLZ
Click here to see answer by ankor@dixie-net.com(15623)

Question 63682: PLZPLZPLZZ......DEFINITELY NEED UR GUYZZ HELP ON THIS ONE.....UR HELP WILL BE THE MOST APPRECIATED THANK UU VERRY VERRY MUCH...OK HERES THE PROBLEMM:
TAKE THE NUMBER 2, 7, 8 AND 9--AND ONLY THOSE NUMBER AND USE ANY OPERATION AND OCMBINATIONS TO GET TO THE NUMBER 24.....BASICALLY U MAY DO ANY COMBO OF OPERATIONS TO GET TEH ANSWER 24......I CNT FIND THE ANSWER....HEEELLLLLPPP PLZ PLZ
Click here to see answer by joyofmath(189)

Question 63745: 6x^3+2x^2-4x+2/3x-1
Click here to see answer by stanbon(57219)

Question 64183: we are having trouble finding cube roots in equasions. Please help us find a simple solution to finding cube roots accurately and quickly.
thank you
Click here to see answer by tutorcecilia(2152)

Question 64425: given f(X)=-X2+4X-1
find the y intercept=
find the equation of the axis of symmetry
find the coordinates of the vertex___________,_________
make a table of values. x______________________________
y______________________________
Determine whether the function has a maximum of mimimum value.______
Graph the function.
Click here to see answer by stanbon(57219)

Question 64502: Please help!
1.) Find all zeros(both real and complex) of the function f(x)=x^4+4x^2-5

2.) Will sells used 4-wheelers and bicycles. He currently has 46 of these machines for sale. If there are 146 wheels on all of these machines, how many 4-wheelers and how many bicycles does Will have for sale?
Thank you!!!!
Click here to see answer by stanbon(57219)

Question 64608: Solve in the complex number system.
8x^3 + 27 = 0
Click here to see answer by checkley71(8403)

Question 64683: We are in interval notation and I am havibg a hard time with. Could you please help?
We are to use interval notaion for the solution sets.
2<(5-2x)<7
Here is another one 2x-3<5 or 3x-2>13
Thanks
Click here to see answer by stanbon(57219)

Question 64742: Could someone please help me!!
I really need help asap please!!!!
Find the horizontal and vertical asymptotes of the function f(x)=x^2+3x-2/x-4

Find all real and complex zeros of the polynominal p(x)=2x^5-x^4+x^3+19x^2-11x-10
Thanks for all your help!!
Click here to see answer by stanbon(57219)

Question 64956: Solve in the complex number system.
8x^3 + 27 = 0
Click here to see answer by josmiceli(9647)

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365