Questions on Algebra: Complex Numbers answered by real tutors!

Tutors Answer Your Questions about Complex Numbers (FREE)

Question 526130: if x = y^2 and y = x^2, what is the least possible real value of x^2 + x + 1,
where x and y are complex numbers ?
Click here to see answer by richard1234(7193)

Question 526662: please help me urgently....
1)Find m and n if (x-2) and (x+3) are both factors of x^3+mx^2-nx-6
2) When p(x)=x^4-3x^3+ax^2+bx-6 is divided by (x+1)it has a remainder of 8. If (x-3) is a factor of p(x) find a and b.
3) If x^2-4 is a factor of 2x^3-ax^2+bx+4 find a and b.

Click here to see answer by KMST(5328)

Question 526946: Find the absolute value of the complex number.
|-10-5i| <---how do i do this?!
Click here to see answer by jim_thompson5910(35256)

Question 527144: simplify the square root of 125
Click here to see answer by jim_thompson5910(35256)

Question 527181: factor the trinomial by grouping : 15x^3+47x^2+28x
Click here to see answer by jim_thompson5910(35256)

Question 528100:
Divide: 5 + 3i ------- 6 - 2i

Click here to see answer by Edwin McCravy(20056)

Question 528384: Please explain to me how to do these types of problems: i^55
Click here to see answer by Alan3354(69443)

Question 528651: 1/a - 1/b = 1/c
solve for b
Click here to see answer by Maths68(1474)

Question 529034: Multiply
2x-4 * x^2 - x - 1
Click here to see answer by stanbon(75887)

Question 529036: Could u please solve this:
Solve in the terms of i
√-51
Click here to see answer by stanbon(75887)

Question 529168: how do you do this: (7+5i)(7-5i)
Click here to see answer by jim_thompson5910(35256)

Question 529530: Write the expression as a complex number in standard form. (5-2i)(1-3i)
Click here to see answer by MathLover1(20850)

Question 529480:
Click here to see answer by ankor@dixie-net.com(22740)

Question 529655: Hello, at first we have the complex number z = -1 + i sqrt(3).
Secondly we have the fraction z/(1 + 2i).
If we substitute z in the numerator we get: {(-1 + i sqrt(3)}/(1+2i).
How do we calculate this fraction into the form a + bi, (a,b belong to R)?
Thanks a lot in advance
Click here to see answer by scott8148(6628)

Question 529681: Please help me solve this equation: .
Click here to see answer by scott8148(6628)

Question 529719: McPeakland has a population of 145,000 people. Every year its population triples. Staceyville's population is unknown, but its population doubles every year. After 24 years, McPeakland's population and Staceyville's population are the same. What is Staceyville's original population?
Click here to see answer by josmiceli(19441)

Question 529760: Simplify √-121.
Click here to see answer by jim_thompson5910(35256)

Question 529756: square root of -121
Click here to see answer by jim_thompson5910(35256)

Question 529765: Simplify (-3i)(-7i)(2i).
Click here to see answer by jim_thompson5910(35256)

Question 529772: Simplify i^11.
Click here to see answer by KMST(5328)

Question 529785: Simplify (10-7i) + (6+9i).
Click here to see answer by jim_thompson5910(35256)

Question 529794: Simplify (12+5i) - (9-2i).
Click here to see answer by solver91311(24713)

Question 529794: Simplify (12+5i) - (9-2i).
Click here to see answer by jim_thompson5910(35256)

Question 529800: Simplify (1+2i)(1-2i).
Click here to see answer by jim_thompson5910(35256)

Question 529800: Simplify (1+2i)(1-2i).
Click here to see answer by nyc_function(2741)

Question 529806: Simplify 5
______
2 + 4i .
Click here to see answer by jim_thompson5910(35256)

Question 529806: Simplify 5
______
2 + 4i .
Click here to see answer by swincher4391(1107)

Question 529836: Evaluate the expression (sqrt(-5))/(sqrt(-1)sqrt(-7)) and write the result in the form a+bi.
The real number a=
The real number b=
Click here to see answer by stanbon(75887)

Question 530026: Factor completely
a^4-7a^2+10
Click here to see answer by algebrahouse.com(1659)

Question 530118: Please help me solve:
Find all real solutions of the given equation:
(x^2 - x)^2 - 63(x^2-x) - 648 = 0
Click here to see answer by stanbon(75887)

Question 530118: Please help me solve:
Find all real solutions of the given equation:
(x^2 - x)^2 - 63(x^2-x) - 648 = 0
Click here to see answer by KMST(5328)

Question 530241: How do I simplify..imaginary numbers
i to the fifteenth.
i to the thirtyfifth.
i to the fivehundredth and twelve.
thank you!
Click here to see answer by KMST(5328)

Question 530435: radical -121
Click here to see answer by Earlsdon(6294)

Question 530653: how to factor 3x^2-22x+40
Click here to see answer by algebrahouse.com(1659)

Question 530668: (6-i) divided by (5+4i)
Click here to see answer by Earlsdon(6294)

Question 530877: 3^2*3^-3
Click here to see answer by jim_thompson5910(35256)

Question 530877: 3^2*3^-3
Click here to see answer by oberobic(2304)

Question 533203: Find the number of nonzero solutions of the equation: z^2+2z̅=0.
Click here to see answer by stanbon(75887)

Question 533822: (5-2i)+(4+4i)
Click here to see answer by Gogonati(855)

Question 534001: Find a six-digit number containing no zeros and no repeted digits in which the first digit is four more than the sixth digit, and the fourth and fith digit when read as a single number equal the product of the first and sixths digits.
Click here to see answer by ankor@dixie-net.com(22740)

Question 534174: How would. You simplify this problem?

I added 6i to both sides and got 17i then I brought the 9 and 7 down to get 7+9+17. Then added all three numbers together and got 33. I'm not sure if this is correct
Click here to see answer by Alan3354(69443)

Question 534205: is there any proof for root over -1 is equal to i
Click here to see answer by Alan3354(69443)

Question 535099: write as a complex number
i + 2
-----
i - 2

Click here to see answer by Alan3354(69443)

Question 536033: Help pls T_T I'm sorry if this is too much but I really need to solve this to pass T_T , Here's the image link : http://i39.tinypic.com/2drxwty.png
1) For what value or values of x is (check image) undefined ?
2) If (check image) , express y in terms of x
3) A motorist gets 3 more kilometers per liter when he drives along a highway than when he drives along a city road. Recently he drove 120km on a highway and 180km on a city road and used exactly 23 liters of gasoline. How many kilometers per liter did he get when he drove along the city road ?
4) If (check image) , find x given that k = 3/4
5) Mang Andok can finish a job in 6 hours while Mang Bok can finish the same job in 8 hours . They decided to work together , but they stop to talk and sometimes they argue . Assume that each man's work rate decreases by the same percent. If they complete the job in 5 hours , what is the percent decrease in the men's work rates?
6) Let a and b be distinct real numbers such that (check image)
7) If a nonzero number n increased by 4 times its reciprocal is equal to a real number constant r what is the sum of all possible values of n ?
Image link : http://i39.tinypic.com/2drxwty.png

Please T_T :'(
thanks if you can help

Click here to see answer by mananth(16946)

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