Questions on Algebra: Complex Numbers answered by real tutors!

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Question 58948: can you please help me understand how to simplify this problem (3+2i)(5-i)
i keep getting different answers each time i try it the first step that i did was to use the distributive property and then i got 15-3i+10i-2 then i simplified it and got 7i+13

Click here to see answer by mszlmb(115) About Me 
Question 58948: can you please help me understand how to simplify this problem (3+2i)(5-i)
i keep getting different answers each time i try it the first step that i did was to use the distributive property and then i got 15-3i+10i-2 then i simplified it and got 7i+13

Click here to see answer by adesouza(1) About Me 

Question 59247: Can you please help me solve this problem step by step?
Find all zeros of f(x).
f(x)=x4+5x2+4

Click here to see answer by venugopalramana(3286) About Me 

Question 59332: determine whether the following pairs of lines are perpendicular or not perpendicular y=-x+4 y=x-3
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Question 59332: determine whether the following pairs of lines are perpendicular or not perpendicular y=-x+4 y=x-3
Click here to see answer by checkley71(8403) About Me 

Question 59757: Simplify the Complex Fraction.
x
-
8
_______
5
___
x+6

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Question 59757: Simplify the Complex Fraction.
x
-
8
_______
5
___
x+6

Click here to see answer by funmath(2933) About Me 

Question 59877: I understand that i have to multiply so that the denomomintor is 1 but I dont know how to do that because the denominator is a binomal.
Heres the problem,
b%5E-.5 over
8b%5E.333b%5E-.25
If you have the time it would be appreciated if you could sohw me the steps

Click here to see answer by funmath(2933) About Me 
Question 59877: I understand that i have to multiply so that the denomomintor is 1 but I dont know how to do that because the denominator is a binomal.
Heres the problem,
b%5E-.5 over
8b%5E.333b%5E-.25
If you have the time it would be appreciated if you could sohw me the steps

Click here to see answer by stanbon(75887) About Me 

Question 58972: sketch the graph of y=4x%5E2-2x this is how far i got but i don't think that i am doing this right...
y=4x%5E2-2x%5E4
u=x%5E2
y=-2u%5E2%2B4x

Click here to see answer by tutorcecilia(2152) About Me 

Question 59770:
I'm having an extremely hard time with Simplifying Complex Fractions! Thank you for helping me!!
1.) 4 + 2/x
_______
x/3+1/6


2.) 1
_______
K+2
________
5
______
K^2-4


3.) 16x^2-49y^2
___________
xy
___________
4 7
___ - ___
y x


4.) 5
____ -5
3r-1
_____________
5
____ +5
3r-1



5.) -5 2
____ + ____
x+5 x+2
_______________
2 -5
____ - _____
x+2 x+4

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Question 60247: 5-i divided by 3-2i
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Question 60685: another problem that needs help! thanks so much
Perform the indicated operations and write the answer in the form a+bi
(6+i^2) - (10 - sq root of -9) + (5 + sq root 0f -64)

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Question 60686: another problem:
sq root of x-2 divided by sq root of x-5

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Question 60683: need help again, thanks so much!
Find the quotient and write the answer in the form a+bi: -4+5i divided by 2+3i

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Question 60893: I have one final question that I could really use assistance with. How do I work the following problem?
(4x-5)^2=-32

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Question 61055: What is i^-1? (i as in imiginary number)
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Question 61088: Find all real or imaginary solution to the equation.
(x-1)/(x+2)=(2x-3)/(x+4)
Thank you so much.

Click here to see answer by venugopalramana(3286) About Me 

Question 61087: Please help. I am stuck with this problem.
Find all real or imaginary solution to the equation.
x^(-2)-9x^(-1)+18=0
It's x power negative 2 -9 power negative 1 +18=0

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Question 61189: The text book says
"Rewriting Expression"...Write the expression as the square of a binomial.
x%5E2%2B16x%2B64
Can you please help me!!???

Click here to see answer by jai_kos(139) About Me 

Question 61174: I would like to verify that I have done this correctly. Divide the complex number (1-3i)/(3+2i)
=((1-2i)(3-2i))/((3+2i)(3-2i))
= (3-8i)/9
=1/3+8i/9.
How did I do?

Click here to see answer by tutorcecilia(2152) About Me 

Question 61403: Research showed that 0.283 of the employees were totally loyal. If the coropration had 6000 employess, how many of them were not loyal?
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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]

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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.

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

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

Solve for x and y
x+2i=5-yi-3-4i

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Question 61786: Find the set of all complex solutions.
x3-27=0

Click here to see answer by venugopalramana(3286) About Me 

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(22740) About Me 

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(2198) About Me 

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

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Question 62092: Please, I need help with complex number division:
(4-i)/(5+i)

Click here to see answer by funmath(2933) About Me 
Question 62092: Please, I need help with complex number division:
(4-i)/(5+i)

Click here to see answer by Earlsdon(6294) About Me 

Question 62123:
Click here to see answer by funmath(2933) About Me 

Question 62122:
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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(75887) About Me 

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(75887) About Me 
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 venugopalramana(3286) About Me 

Question 62623: write the number in standard complex form
20- sqrt of -8

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Question 62622: 20- sqrt of -8
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Question 62915: express each answer in the form a+bi
25 over 1+2i would you multiply both top and bottom by 1-2i?

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Question 63098: (6 - i)/ (4+7i)
thank you

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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]

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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) About Me 

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) About Me 

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


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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, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380