Questions on Algebra: Complex Numbers answered by real tutors!

Tutors Answer Your Questions about Complex Numbers (FREE)

Question 1144070: Use De moivres theorem to obtain the identity for the following
A. Sin(7θ)
B. Cos(6θ)
Click here to see answer by Edwin McCravy(20054)

Question 1144065: show that the set of complex numbers under multiplications is a GROUP. Find Re(z^-1).
Click here to see answer by ikleyn(52747)

Question 1144066: Proved that (a)arg(z1z2)=arg(z1)+arg(z2) and, (b)arg(z1/z2) =arg(z1)-arg(z2).
Click here to see answer by ikleyn(52747)

Question 1144069: Verify that sqrt2|z|≤|Re(z)|+|Im(z)|
Click here to see answer by ikleyn(52747)

Question 1144148: Find the roots of : a) z3 = 1 + i b) z5 = −i c) z7 = −1
Click here to see answer by greenestamps(13195)

Question 1144074: Let z1=4-3i , z2=2i ,z3=7-2i and z4=2-3i evaluate the following
A. z1^2+(z2-z3)^3 (in standard form)
B. Find the multiplicative and additive inverse of z4-(z3-z2). (in exponential form)
Click here to see answer by solver91311(24713)

Question 1144073: Let z1=4-3i , z2=2i ,z3=7-2i and z4=2-3i evaluate the following
A. Re=(z1-z2)(in SRCF)
B. |(z1+z2)-z3| (in trigonometric form
Click here to see answer by solver91311(24713)

Question 1144072: Find the principal argument Arg(z)
1. z=i/-2-2i
2. z=(√3 -i)^6
Click here to see answer by solver91311(24713)

Question 1144479: -9 - the square root of -18 divided by 3

Click here to see answer by ikleyn(52747)

Question 1144479: -9 - the square root of -18 divided by 3

Click here to see answer by josgarithmetic(39613)

Question 1144726: Simplify this complex fraction
6x^2/5
2X^3/x-5
Click here to see answer by greenestamps(13195)

Question 1144838: (8-5i)-(-11+4i)

Click here to see answer by ikleyn(52747)

Question 1144932: square root -2- square root -100

Click here to see answer by josgarithmetic(39613)

Question 1145575: Simplify. -2+3i/-4+2i
Click here to see answer by Alan3354(69443)

Question 1145575: Simplify. -2+3i/-4+2i
Click here to see answer by ankor@dixie-net.com(22740)

Question 1146510: Given 3 prime numbers a, b, c satisfies equation , find the sum of these 3 prime numbers.
Click here to see answer by solver91311(24713)

Question 1146510: Given 3 prime numbers a, b, c satisfies equation , find the sum of these 3 prime numbers.
Click here to see answer by Alan3354(69443)

Question 1146980: A boat on a river travels downstream between two points, 20 miles apart, in one hour. The return trip against the current takes 2 1/2 hours. What is the speed, and how fast does the current in the river flow?
Click here to see answer by ikleyn(52747)

Question 1147911: how do I Factor this expression over the complex numbers. x^2+36
Click here to see answer by josgarithmetic(39613)

Question 1148627: (1+i)3/4+3i
Click here to see answer by Alan3354(69443)

Question 1149697: If a+b=2 and b*a= −1, then a^2 + b^2 =
(A)4
(B)5
(C)6
(D)8
(E)10
Click here to see answer by Alan3354(69443)

Question 1149697: If a+b=2 and b*a= −1, then a^2 + b^2 =
(A)4
(B)5
(C)6
(D)8
(E)10
Click here to see answer by ikleyn(52747)

Question 1149963: I am having a lot of trouble with synthetic division.
(6x^4-2x^3+8x^2+3x+1)/(2x^2+2)
If someone could explain how to do this in terms a 2 year old could understand that would be very helpful.
Click here to see answer by josgarithmetic(39613)

Question 1149966: I am having a lot of trouble with synthetic division.
(6x^4-2x^3+8x^2+3x+1)/(2x^2+2)
If someone could EXPLAIN IN TERMS A 2 YEAR OLD COULD UNDERSTAND THAT WOULD BE VERY HELPFUL.
Click here to see answer by greenestamps(13195)

Question 1150291: |z1+z2|<=|z1|+|z2| i need the proofing
Click here to see answer by math_helper(2461)

Question 1150567: Hey! So I came across a question that asks for the multiplicative inverse of 2+3i. I looked at the answer choices and determined that it's 1/2-3i. However, the key says that the answer is 2-3i/13. Could I get an explanation as to why this is the answer? Thank you.
Click here to see answer by josgarithmetic(39613)

Question 1150857: Please help me to solve question value of x and y when (x+yi)^2=5+4i

Click here to see answer by josgarithmetic(39613)

Question 1150857: Please help me to solve question value of x and y when (x+yi)^2=5+4i

Click here to see answer by math_helper(2461)

Question 1150864: Good evening and Happy New Year to all Algebra Tutors!
What is the largest seven-digit number divisible by 44 that can be formed by the digits 1, 2, 3, 4, 6, 7, and 8 each used exactly once?
Click here to see answer by Alan3354(69443)

Question 1151018: Subtract 13-32 Mod 3. Please Full Working
Click here to see answer by ikleyn(52747)

Question 1150950: hello, I was wondering if anyone would know the chances that my SS#, home address and phone# all each add up to 42? I just recently noticed this and am wondering just how 3 random 9 and 10 digit numbers can all add up to the same #, considering they were randomly selected decades apart.

Click here to see answer by jim_thompson5910(35256)

Question 1151023: If (x+1)(x-2) is positive, which statement must be true?
A. x<-1 or x>2
B. x>-1 or x<2
C. -1 D. -2
Click here to see answer by MathLover1(20849)

Question 1151023: If (x+1)(x-2) is positive, which statement must be true?
A. x<-1 or x>2
B. x>-1 or x<2
C. -1 D. -2
Click here to see answer by jim_thompson5910(35256)

Question 1151023: If (x+1)(x-2) is positive, which statement must be true?
A. x<-1 or x>2
B. x>-1 or x<2
C. -1 D. -2
Click here to see answer by greenestamps(13195)

Question 1151080: Given the equivalent impedance of a circuit can be calculated by the expression
𝑍=𝑍1*𝑍2/𝑍1+𝑍2
If 𝑍1=4𝑗+6 and 𝑍2=6−𝑗, calculate the impedance 𝑍 in both rectangular and polar forms.
Click here to see answer by math_helper(2461)

Question 1151107: Three impedances are connected in parallel. 𝑍1=2𝑗+3, 𝑍2=5−6𝑗, 𝑍3=3𝑗. Find the equivalent admittance 𝑌 where
𝑌=1/𝑍1+1/𝑍2+1/𝑍3
Express the admittance in both rectangular and polar forms.

Click here to see answer by math_helper(2461)

Question 1151158: I need help solving this problem: So far I have this:
x/x2+5x+6 - 2/x2+3x+2
x/(x+2)(x+3) - 2/(x+2)(x+1) but I don't know what to do next.

Click here to see answer by MathLover1(20849)

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