Questions on Algebra: Complex Numbers answered by real tutors!

Tutors Answer Your Questions about Complex Numbers (FREE)

Question 674271: Find a third-degree polynomial equation with rational coefficients that has roots �4 and 6 + i.
Click here to see answer by ReadingBoosters(3246)

Question 675317: (i)^2i solve it
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Question 675415: Simplify the following square root expression. (5+square root -3)^2
Click here to see answer by jim_thompson5910(35256)

Question 675584: How do I find the reciprocal of a complex number, specifically 9i? (Written in standard form)
Click here to see answer by nerdybill(7384)

Question 675705: If 2x-3 is a factor of 10x^2 - 3x+c, find c.
I know this has to do with long division and factoring.
Click here to see answer by ReadingBoosters(3246)

Question 675859: How can I divide (3-2i) / (4+3i)??
Thank you!
Click here to see answer by ReadingBoosters(3246)

Question 676776: find the reciprocal and simplify (2-i)
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Question 676864: (5i)(5+i)-(2i)(3+5i)
my work: 25i+5isquared-6i-10isquared
25i+5(-1)-6i-10(-1)
19i-5+10
5+19i
i dont really understand complex numbers, i missed class the day we learned it, have i done it right?
Click here to see answer by ankor@dixie-net.com(22740)

Question 677684: (x+4)^2+6=16
Click here to see answer by jim_thompson5910(35256)

Question 678434: (x^2+2x-xy-2y)/(x^2-xy+5x-5y)
Click here to see answer by ReadingBoosters(3246)

Question 678436: {(m^2-9m)/(m-3)} + {(18)/(m-3)}
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Question 678437: {(x^3+x^2y+3x+3y)/(2x^4+6x^2)} X {(9x^3)/(3x^2-3y^2)}
the capital X as times
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Question 678209: (-sqrt3+i)^2

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Question 679765: Dividing Complex numbers: The question:
(5-6i)(4+7i)/(2+i)(5-6i) I tried multiplying the numerator and denominator to get a single term and got an answer of 915+610i. Then I tried multiplying the conjugate of 2+i with the same results. What am I missing? The answer key says the answer is 5+6i. How do I do this type of problem? I would appreciate the steps as I have others and need an example to follow.
Much appreciated.
Click here to see answer by solver91311(24713)

Question 680323: what is
(11 x-50)^2=70
Click here to see answer by MathLover1(20849)

Question 680445: {(x^2-25)/(5y)} / {(5-x)/(20xy)}
Click here to see answer by stanbon(75887)

Question 680447: {(y-6)^2/(3)}/ {(3y-18)/(9)}
Click here to see answer by ReadingBoosters(3246)

Question 680487: How do you foil complex numbers with conjugate that have been added to a variable?! Ex.
(x-7-5i)(x-7+5i)
Please do this step by step...the answer is x^2-14x+74 WHERE DOES THAT COME FROM? Ive been working on learning this for hours and I cant find it anywhere! Thanks!
Click here to see answer by Alan3354(69443)

Question 680602: Hi. I tried solving this expression but cannot get it.
-2-5i / 3i
the slash indicates DIVIDED BY. I know u cannot leave an "i" in the denominator, but i dont not know how to get rid of it. Please help and thank you!
Click here to see answer by josmiceli(19441)

Question 680646: Please help me solve this equation:
Click here to see answer by ReadingBoosters(3246)

Question 680802: solve(3-i)/(-4+2i)
Click here to see answer by mananth(16946)

Question 681144: find the conjugate (in a+bi form): 2+i
Click here to see answer by funmath(2933)

Question 681626: The square root of -289
Click here to see answer by MathLover1(20849)

Question 681965: {(m2-8m)/(m-5)}+{(15)/(m-5)}
Click here to see answer by ReadingBoosters(3246)

Question 682002: z is a complex number such that the ratio z-i/z-1 is purely imaginary. Prove that z lies on a circle whose centre is at a point 1/2 + 1/2 i and whose radius is 1/v2( 1 divided by square root of 2)
Click here to see answer by Edwin McCravy(20054)

Question 681954: {(125y3 + 216)/(64y3 - 1)}/{(25y2-36)/(16y2+4y+1)}
Click here to see answer by mananth(16946)

Question 682065: {(4(y-1)/(5y-8)}-{(y-4)/(8-5y)}-{(-5y/(5y-8)}
Click here to see answer by KMST(5328)

Question 682167: 3+2i/5+i
Click here to see answer by lynnlo(4176)

Question 682262: x^4-2x^2-3=0
Click here to see answer by lynnlo(4176)

Question 682454: How would I solve 5√3 over 3√5?
Click here to see answer by mananth(16946)

Question 682930: find the quotient of 1-5i/4+2i
Click here to see answer by stanbon(75887)

Question 683347: Find all real numbers x and y that satisfy the equation: -2x - 4 + 2yi = 3x - 2i
Click here to see answer by fcabanski(1391)

Question 683314: how can I write 3-2i/5i as a complex number.
Click here to see answer by mathgotserved(25)

Question 683232: write the expression as a complex number in standard form
(8+i)/(1-2i)

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

Question 683404: I have been working on this for hours, not sure how to solve this (please show steps):
Perform the indicated operation and express the result in the form a + bi
(1 + 3 sqrt(-5))(2 - sqrt(-5))
Click here to see answer by ReadingBoosters(3246)

Question 683878: 1+3+5+7+9+11+13+15+17+19+21+23+25+27+29
addition of any 3 number to get 30 as answer.

Click here to see answer by Alan3354(69443)

Question 684089: I am having trouble with a problem in my book it reads:
Find the product of each complex number and it's conjugate
8-2i
I looked in my book and the answer is 68 but I want to know how it got it
I know I is imaginary and it equals the square root of -1
Click here to see answer by ReadingBoosters(3246)

Question 684061: (9-11i)^2
Click here to see answer by ReadingBoosters(3246)

Question 684399: Please find the value of x.
2x^2=x+4
Click here to see answer by MathLover1(20849)

Question 684433: Find two complex numbers whose sum equals 15 and whose product equals 90. How would I go about putting it into the format z=___ +- ___i ???? Any help would be greatly appreciated
Click here to see answer by josmiceli(19441)

Question 685005: (3-7i)^2

Click here to see answer by ReadingBoosters(3246)

Question 683097: absolute value of -175
absolute value of -4+10
-6-absolute value of -48
Click here to see answer by ReadingBoosters(3246)

Question 685129: Find the product of (4+5i) and (4-5i) What are pairs of complex numbers like these called?
Click here to see answer by funmath(2933)

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