Questions on Algebra: Complex Numbers answered by real tutors!

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Question 947388: (x+yi)(2+i)=2x-(y+1)i
Click here to see answer by josgarithmetic(39613)

Question 948878: how to simplify the following
1+2i+3+3i
arg(-2-3j)
Click here to see answer by Fombitz(32388)

Question 948964: z1=-23+7i
z2=4+11i
z3=-4-12i
z=z1*z2*z3/z1+z2
Click here to see answer by MathLover1(20849)

Question 949302: write (1+i)8 in standard a+bi form
Click here to see answer by MathLover1(20849)

Question 949318: what is (1+i) to the power of 8/ How would you write that in the a+bi form?
Click here to see answer by MathLover1(20849)

Question 949894: (3+i)-(-2-5i)
Click here to see answer by nerdybill(7384)

Question 950257: what is (2+i)^2-(3-i)^2
Click here to see answer by jhaashok630(18)

Question 950346: How do you simplify (3+2i)-3-(3i) ?
Click here to see answer by MathLover1(20849)

Question 950122: Y/5 + y/2 = 7
Click here to see answer by Fombitz(32388)

Question 950191: Find all solutions of the equation x^2 + 1 x + 5 = 0 and express them in the form a + b i
Click here to see answer by Fombitz(32388)

Question 951459: Find the indicated power using De Moivre's Theorem.
(1 + i)^28
Click here to see answer by Alan3354(69443)

Question 951449: Find all solutions of the equation. (Enter your answers as a comma-separated list.)
9x^2 + 49 = 0
Click here to see answer by MathLover1(20849)

Question 951458: Find the indicated power using De Moivre's Theorem.
(2sqrt(3)+2i)^5
Click here to see answer by addingup(3677)

Question 951996: x^2-75=0

Click here to see answer by macston(5194)

Question 952982: What is the product of the complex numbers 4-3i and -4+5i
Click here to see answer by MathLover1(20849)

Question 953603: the complex number z satisfies the equation |z|=|z+2|.Show that the real part of z is -1
the complex number z also satisfies the equation |z|=2
Click here to see answer by stanbon(75887)

Question 953979: 3+4?*
Click here to see answer by Alan3354(69443)

Question 954840: Please help me solve the following derivatives f'(t) and f"(t)
f(t)=t^3/2
f(t)=t-e^4t

Click here to see answer by Fombitz(32388)

Question 955004: What is the thickness, in inches, of pipe that has an outer diameter of inches and an inner diameter of 5 inches?
Click here to see answer by Fombitz(32388)

Question 955047: 3x^-1/11-1=o

Click here to see answer by Fombitz(32388)

Question 955626: Which of the following is the distance between the points (x, 5) and (2x, 10) on a standard coordinate plane?
5
x
x + 5
sqrt x^2-25
sqrt x^2+25

Click here to see answer by MathLover1(20849)

Question 955625: What is the y�value of the point at which the lines y = 2x + 6 and y = 1/2x � 6 intersect each other?
�10
�8
�6
6
10

Click here to see answer by MathLover1(20849)

Question 955620: http://jasper.kaptest.com/content/media/94/124694.9.27391735-902d-4512-9abc-9d8f449e7b51.png

In the figure above, four right triangles are formed by inscribing a square in the circle with center C and adding four line segments tangent to circle C. Two sides of each triangle have a length of s, as shown. What is the circumference of the circle, in terms of s ?
2πs
4s
4s sqrt 2
4πs sqrt 2
4πs

Click here to see answer by Edwin McCravy(20054)

Question 955751: If set R consists of 5 letters and set S consists of 3 numbers, then how many elements are in the union of the two sets?
OPTIONS:
0
2

3
5
8
Click here to see answer by Edwin McCravy(20054)

Question 955899: 2x squared - x +2
the y intercept at 0 is (0.3), it opens up, x coord of vertex is 1/4, y coord is 15/8, so the vertex is (1/4,15/6) axis of symmetry is 1/4, discriminant is -15, no x intercepts, domain (-00,00), range (15/8,00), decreasing (-00,1/4), increasing (1/4) how do i figure out right side of the parabola??
Click here to see answer by stanbon(75887)

Question 955623: If 4q+r/3r= q�r and r = 2, what is the value of q?
�3
0
4/7
4
7

Click here to see answer by Fombitz(32388)

Question 956067: F(x)=3x^4-x^3-9x^2+159x-52
Find the complex zeros & write in factored form.
Click here to see answer by Fombitz(32388)

Question 956941: Find all the numbers not in the domain of the function
F(x)=(x^2-25)/(x^2-6x-27)
Click here to see answer by MathLover1(20849)

Question 957205: what are the fourth roots of negative 16 in polar form?
Click here to see answer by Alan3354(69443)

Question 957204: what is the fourth roots of negative 16 in polar form?
Click here to see answer by Alan3354(69443)

Question 958005: 10 in. = ______ feet (give the answer in a fraction)
Click here to see answer by Alan3354(69443)

Question 958836: Simplify 4th root of 400 divided by 4th root of 5.
If you could work it out and explain each step it'd be appreciated.
Click here to see answer by josmiceli(19441)

Question 958836: Simplify 4th root of 400 divided by 4th root of 5.
If you could work it out and explain each step it'd be appreciated.
Click here to see answer by Fombitz(32388)

Question 958847: I was only able to work this problem out so far but I'm stuck.
I need to convert a quadratic equation to a vertex form.
y=-2x^2+2x+2
y-2=-2x^2+2x
y-2=-2(x^2-x)
If you could help me finish converting it and explain each step it'd be appreciated.
Click here to see answer by rothauserc(4718)

Question 959031: Find an equation that has x = i, -i, -4 and 1 as solutions.
Click here to see answer by MathLover1(20849)

Question 959642: What is the value of log81 3?
There is already an answer provided here:
http://www.algebra.com/algebra/homework/logarithm/logarithm.faq.question.535764.html
But I would like the steps to be explained please so I can understand it, and not just get an answer. Thanks
Click here to see answer by Fombitz(32388)

Question 959844: Perform the operation and write results in standard form;
1.(2+3i)^2+(2-3i)^2
2.(Sqrt 14+sqrt 10i)(sqrt 14-sqrt 10i)
3.12i(1-9i)

Click here to see answer by Fombitz(32388)

Question 959687: Find a quadratic model for the set of values: (-2, -20), (0, -4), (4, -20).
Also please show your work, thanks.

Click here to see answer by Fombitz(32388)

Question 959871: Which of the following is a solution of x2 - 6x = -22?

Click here to see answer by Alan3354(69443)

Question 960112: Hi
Define amplitude or argument of a complex number
Click here to see answer by Fombitz(32388)

Question 960195: Simplify -|-13| and explain how you got your answer.
Click here to see answer by EdenWolf(517)

Question 960675: Solve 2x^3 + 3x^2 + 2x - 2
Click here to see answer by Alan3354(69443)

Question 960671: 2x^3 + 3x^2 + 2x - 2
Click here to see answer by Alan3354(69443)

Question 960906: What are the complex solutions of x^5+x^3+2x = 2x^4+x^2+1?
Click here to see answer by Alan3354(69443)

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