Questions on Algebra: Complex Numbers answered by real tutors!

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Question 1093790: find the product of the complex number and its conjugate. -3+2i
Click here to see answer by stanbon(75887)

Question 1093822: Find the poalr representation of z=cosa-i*sina
Click here to see answer by ikleyn(52747)

Question 1093881: Factor the expression by removing the common factor with the smaller exponent
5x^2+x^-3
Click here to see answer by Alan3354(69443)

Question 1093881: Factor the expression by removing the common factor with the smaller exponent
5x^2+x^-3
Click here to see answer by stanbon(75887)

Question 1093964: Hi there! I just started highschool at a collegiate school. I am so thankful I got in, and I would like to learn as much as possible. But due to hurricane Irma, school was cancelled and therefore my teacher did not have time to teach us. I know this is pretty simple, and I found the answers online, but I want to learn how to do it and get the answer myself. Here are a few problems I cannot get. Below is my work that I know is wrong.
i^7
(i^3)^2 x i
-i x -i = i
i x i = i
i^49
i^99
i^91
i^473
i^2001
i^8 + i^9 + i^10
Please help me asap. I have more questions like this, but I want to do most of it myself.

Click here to see answer by Alan3354(69443)

Question 1094116: put -3(i/2) into a+bi form
Click here to see answer by ikleyn(52747)

Question 1095091: Suppose a polynomial function of degree 4 with rational coefficients has the following given numbers as zeros. Find the other zero(s).
i, 7 square root of 11

Click here to see answer by greenestamps(13195)

Question 1095664: Form a polynomial f(x) with real coefficients having the given degree and zeros. (InterAct Math # 17)
Degree 3: zeros: 1 + i and -10
Click here to see answer by greenestamps(13195)

Question 1095676: solve the following equation for real numbers x and y.
(a).(3+4i)^2-2(x-iy)=x+iy
Click here to see answer by ikleyn(52747)

Question 1095684: solve the following equation for real numbers x and y.
((1+i)/(1-i))^2+1/(x+iy)=1+i.

Click here to see answer by Alan3354(69443)

Question 1095692: write the complex numbers (-underroot3+(i))(4+4i) in polar form and represent it on an argand diagram
Click here to see answer by Edwin McCravy(20054)

Question 1095693: please send me ans as early as possible
Click here to see answer by ikleyn(52747)

Question 1095761: if 2costheta=x=1/x, 2cosphi=y+1/y,2coslamida=z+1/z,then prove that 2cos(theta+phi+lamida)=xyz+1/(xyz).
plz send me ans as early as possible.
Click here to see answer by ikleyn(52747)

Question 1095767: write the complex number(-underrroot3+(i))(4+4i) in polar form.
Click here to see answer by greenestamps(13195)

Question 1096668: What is the multiplicative inverse of 3+2i/1-i
Click here to see answer by josgarithmetic(39613)

Question 1096719: number one: -4-4i/-3i
number two: 6/8i
number three: 7/9i
number four: -7/7i
number five: 8i/-2+9i
Click here to see answer by Alan3354(69443)

Question 1096667:
Click here to see answer by Alan3354(69443)

Question 1096986: Is 3+7i Pure imaginary, complex , real or non complex
Click here to see answer by Fombitz(32388)

Question 1096986: Is 3+7i Pure imaginary, complex , real or non complex
Click here to see answer by ikleyn(52747)

Question 1096986: Is 3+7i Pure imaginary, complex , real or non complex
Click here to see answer by MathTherapy(10549)

Question 1097117: Hi!
I can't seem to figure out how to solve this question:
The complex number z is a solution of the equation . Express z in the form a+bi where a and b are integers.
Thank you!
Click here to see answer by htmentor(1343)

Question 1097245: (8+3i)^2
(8+3i) (8+3i)
when I first tried this I got 64-24i-24i-9i

I have the answer 55-48i, I just don't understand how to get there.
Click here to see answer by josmiceli(19441)

Question 1097222: Find all complex numbers z such that |z| ^ 2 - 2 z + iz = 2i.
The second 2 has an overline. Please Help
Click here to see answer by Edwin McCravy(20054)

Question 1097267: a^3 � b ^3 = ( a � b)( a^2 + ab + b^2 )
how to prove that
Click here to see answer by ikleyn(52747)

Question 1097266: a^3 � b ^3 = ( a � b)( a^2 + ab + b^2 )

Click here to see answer by ikleyn(52747)

Question 1097330: write the following using index notation:
a)
b)
c)
d)
Click here to see answer by richwmiller(17219)

Question 1097588: find derivetive f(x)= x^2 and when x=4 find slop with explain with graph
Click here to see answer by josgarithmetic(39613)

Question 1097732: a polynomial function of degree 4 with rational coefficients has the given numbers as zeros
Click here to see answer by ikleyn(52747)

Question 1098170: Write the quotient in standard form.
4
6 − 7i
Click here to see answer by josgarithmetic(39613)

Question 1098364: I need to draw in complex plane this: B={|z-3-4i|=2}
Click here to see answer by ikleyn(52747)

Question 1098508: cx + f = b Solve for x.
--
d <--- this is a faction
Click here to see answer by Boreal(15235)

Question 1098465: Find the modules of 7+3i/3-7i
Click here to see answer by Alan3354(69443)

Question 1098569: Evaluate √(-5+12i) (or) (-5+12i)� ?
Click here to see answer by Fombitz(32388)

Question 1099189: can you solve in the complex number system: x^2=1
Click here to see answer by Alan3354(69443)

Question 1099189: can you solve in the complex number system: x^2=1
Click here to see answer by ikleyn(52747)

Question 1099340: Can someone please help me with this question - Thanks
Let P(z)= , k is a rational number.
3+i is a root of the equation P(z)=0
Find value of k.
Find the other root of the equation P(z)=0
I got two roots and multiplied them together and got , I did this by z=3+i and z=3-i, (z-3-i)(z-3+i).
I originally thought I had to divide by but I don't think I can divide with the k in the way.

Click here to see answer by KMST(5328)

Question 1099544: A plane flies with a velacity of 120 mph at a bearing of 115 degree through a 30-mph wind from the east. What is the plane's velocity as measured from the ground? Show you work.
Click here to see answer by Fombitz(32388)

Question 1099813: (5-3i)-(-4-2i)
Click here to see answer by Fombitz(32388)

Question 1099803: If z-2i/2z-1 is purely imaginary prove that the locus of z in the Argands diagram is a circle .find centre and radius
Click here to see answer by greenestamps(13195)

Question 1100597: which are the real part and imaginary part of the complex number [(1+i)/(1-i)]-[(1-i)-(1+i)]

Click here to see answer by ikleyn(52747)

Question 1102039: The graph of a quadratic function intercepts the x-axis in the two places and the y-axis in one place.
According to the fundamental theorem of algebra, which of the following statements is correct?
a.The quadratic function has no real zeros and two non-real zeros.
b.The quadratic function has two distinct real zeros and one distinct non-real zero.
c.The quadratic function has two distinct real zeros.
d.The quadratic function has one distinct real zero and one distinct non-real zero.
Click here to see answer by stanbon(75887)

Question 1102140: how do you find the multiplicative inverse of 3-i
Click here to see answer by stanbon(75887)

Question 1102298: Write the complex number 125 + -25 square root in a+bi form and identify the values of a+b
Click here to see answer by josgarithmetic(39613)

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