Questions on Algebra: Complex Numbers answered by real tutors!

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Question 1069363: x+2/3/x+1/x

Click here to see answer by Alan3354(69443)

Question 1069426: : Suppose w is a cube root of unity with w not equal to 1 suppose P and Q are the points on complex plane defined by w and (w^2) if O is the origin then what is angle between OP and OQ
Click here to see answer by ikleyn(52787)

Question 1069868: Explain how you find ordered-pair solutions of the equation 3x - 5y= 15. then find two solutions.
Click here to see answer by ikleyn(52787)

Question 1069885: find x
2^5x-9=(1/8)^6x+6
Click here to see answer by Alan3354(69443)

Question 1069885: find x
2^5x-9=(1/8)^6x+6
Click here to see answer by MathTherapy(10552)

Question 1069890: find x
2^(5x-9)=(1/8)^(6x+6)
Click here to see answer by josmiceli(19441)

Question 1069890: find x
2^(5x-9)=(1/8)^(6x+6)
Click here to see answer by josgarithmetic(39617)

Question 1070193: Find a polynomial, P(x), that has degree 6, a leading coefficient of 1, and for which bi is a zero of multiplicity of 3
Click here to see answer by josgarithmetic(39617)

Question 1070329: Express the displacement of Q as an equation written in Cartesian form.
R(t)=12/t-2 i + (t-3) j
Click here to see answer by ikleyn(52787)

Question 1070700: Write the complex number z = -6 -2i in trigonometric form (sometimes called polar form). Express the angle θ in radians, where 0 <= θ < 2 pi
Z = ___(cos___ + i sin ____)
I greatly appreciate an answer to this question.
The answer I am getting is:
r = 6.32456
θ = -161.565 Degrees
But i do not know how to put it in cosine + i sin form.

Z = ___(cos___ + i sin ____)

Click here to see answer by Fombitz(32388)

Question 1071605: Find a polynomial function of least degree having only real coefficients, a leading coefficient of 1, and zeros of 4 and 1+I.
Click here to see answer by Edwin McCravy(20056)

Question 1071774: solve for x and round to nearest ten-thousandth
6^(3x) =60^(4x+5)
Click here to see answer by josgarithmetic(39617)

Question 1071774: solve for x and round to nearest ten-thousandth
6^(3x) =60^(4x+5)
Click here to see answer by MaxWong(38)

Question 1071957: Find all the complex solutions of the equation.
x^4 + i = 0
Click here to see answer by math_helper(2461)

Question 1071910: Find a polynomial of degree 4 with integer coefficients has zeros 1+i and i, with constant term 6. What is the leading coefficient?
Click here to see answer by Fombitz(32388)

Question 1072378: Calculate the electrical torque on a water molecule, about a point at its center, when the molecule is oriented perpendicular to a 760 N./C. electric field. Consider the molecule to be a system of two charges, +e and -e, separated by a distance of 0.88E-10 m. (e = 1.6E-19 C.)

Click here to see answer by rothauserc(4718)

Question 1072432: What is one fifth of 2223 metres squared?

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Question 1072544: How to find compound interest and future value. Please break future value calculation down for easy guidance. Assume 365 day year. Principal= 3315. Rate= 8%. Compounded daily. Time 5 years.
Click here to see answer by Boreal(15235)

Question 1072395: multiplicative inverse of {(2)^1/2, - (5)^1/2}
Click here to see answer by Fombitz(32388)

Question 1073322: I'm three times as old as you were when I was as old as you are now. When you will be my age, together we will be 13370 years old
Please help me, I've been trying to adapt from the 84 question but I can't figure it out, this question is dude in a day for an online out of school quiz and I'd really appreciate your help!
Thanks
Click here to see answer by ikleyn(52787)

Question 1073369: If z+1/z-1=cos(theta)+isin(theta), where theta is not equal to zero, show that z=-icot(theta/2). I tried to solve this problem but I'm stuck. I tried to get rid of the fraction by multiplying z-1 to the right hand side, but I'm not sure about the next step. Additional information is that this is one of the "mini" questions in a series of questions. The answers to the previous questions tell you that abs(z+1/z-1)=1, and that z is purely imaginary. I'm not sure if this additional info would help, but I would really appreciate it if you could teach me how to solve this question. Thank you so much for your time and effort!
Click here to see answer by rothauserc(4718)

Question 1073439: x + z = -2
x + y + 4z = -1
2x + 2z + w = -1
Click here to see answer by josgarithmetic(39617)

Question 1073485: z-|z|=8+4i
Find all complex numbers z that satisfy the equation:
Click here to see answer by ikleyn(52787)

Question 1073485: z-|z|=8+4i
Find all complex numbers z that satisfy the equation:
Click here to see answer by Edwin McCravy(20056)

Question 1073714: solve log(1+i) in the form of a+bi

Click here to see answer by Edwin McCravy(20056)

Question 1073970: Simplify (i+1)^3200 - (i-1)^320}. Thank you.
Click here to see answer by ikleyn(52787)

Question 1074213: (a+bi)^2=i
determine a and b
must be real numbers
Click here to see answer by Edwin McCravy(20056)

Question 1074277: This is in factorials!!! Evaulate each expression
24!/18!(24-18)!
The answer should be 134,596 but how do I solve it?????
Click here to see answer by Edwin McCravy(20056)

Question 1074394: The sum of two complex numbers is -3 + 5i. If one of these complex numbers is 1-8i, what is the other number?

Click here to see answer by Alan3354(69443)

Question 1074581: |i-1|^n=4find n

Click here to see answer by ikleyn(52787)

Question 1074556: Hi, i have a problem which states Find all numbers z in C such that ((z-i)^4)=i
Help would be much appreciated, thank you so much!
Click here to see answer by Edwin McCravy(20056)

Question 1074759: If z1 and z2 are two complex numbers with |z1|=|z2| ,then which of the following are true.
1. Z1=z2
2 real part of z1=real part of z2
3.imaginary part of z1=imaginary part of z2
Click here to see answer by Edwin McCravy(20056)

Question 1074905: Find all complex numbers $z$ such that $|z-1|=|z+3|=|z-i|$.
Express each answer in the form $a+bi$, where $a$ and $b$ are real numbers.
Click here to see answer by Fombitz(32388)

Question 1075272: Use mathematical induction to prove that the statement is true for every positive integer n. Show your work.
2 is a factor of n2 - n + 2
pls give step by step answer
Click here to see answer by stanbon(75887)

Question 1075305: Find the value of x and y, so that (x+y)+(x-y)i = 14.8+6.2i
Click here to see answer by josgarithmetic(39617)

Question 1075573: Suppose that a polynomial function of degree 4 with rational coefficients has -2+3i,3-√3 as zeros Find the other zeros

Click here to see answer by ikleyn(52787)

Question 1075467: Write the product of (3+5i)(2+9i) in standard form
Click here to see answer by Alan3354(69443)

Question 1075728: How many pairs of integers (b,c) satisfy the equation:
(b+7)/(b+4)=c/9

Click here to see answer by Edwin McCravy(20056)

Question 1075776: A statement Sn about the positive integers is given. Write statements Sk and Sk+1, simplifying Sk+1 completely.
Sn: 1 + 4 + 7 + . . . + (3n - 2) = n(3n - 1)/2
pls show step by step answer
Click here to see answer by ikleyn(52787)

Question 1075765: Find a monic quartic polynomial $f(x)$ with rational coefficients whose roots include $x=2-3\sqrt 2$ and $x=1-\sqrt 3$. Give your answer in expanded form.
Click here to see answer by ikleyn(52787)

Question 1075896: Please help me solve this equation:(2+3i) raise to (3-2i)
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