Questions on Algebra: Complex Numbers answered by real tutors!

Tutors Answer Your Questions about Complex Numbers (FREE)

Question 1123541: Let f(m) = m˄5 - 11m˄3 - 26m˄2 + 48m + 144. Given that m = -2 + 2i and m = -2 are
roots of f(m), find all the other roots of f(m) and write f(m) as a product of irreducible real quadratic and linear functions.
Click here to see answer by josgarithmetic(39613)

Question 1123522: deduce the solutions of the equation
(z + 1)˄4 = 16(z - 1)˄4.
Click here to see answer by Alan3354(69443)

Question 1123522: deduce the solutions of the equation
(z + 1)˄4 = 16(z - 1)˄4.
Click here to see answer by Edwin McCravy(20054)

Question 1123956: The sum of the first n terms of a series is 5n^2-2n. The rth term is
A)6r+3
B)10r-7
C)4r^2-r
D)r(5r-2)
E)3r

Click here to see answer by ikleyn(52750)

Question 1123957: Find the sum of all possible 4-digit numbers that can be formed using the digits 2,4,5,6,7, and 8, with no repeated digits.
A)2333100
B)1360920
C)2133120
D)1599840
C)1813450

Click here to see answer by ikleyn(52750)

Question 1123985: The positive integers in a continuation of the pattern shown below. The value of the integer in the 72nd row (horizontal) and the 15th column (vertical) is
1 3 4 10 11
2 5 9 12
6 8 13
7 14
15
I'm sorry I couldn't make it like the acctual question but I hope you understand the pattern.
Click here to see answer by ikleyn(52750)

Question 1124403: How many complex roots does the polynomial equation have?
5x^3−4x+1=0

2
3
4
5
Click here to see answer by MathLover1(20849)

Question 1124403: How many complex roots does the polynomial equation have?
5x^3−4x+1=0

2
3
4
5
Click here to see answer by ikleyn(52750)

Question 1124657: Find the real numbers x and y that make the equation true.
-3 + yi = x + 6i
Click here to see answer by josmiceli(19441)

Question 1124676: -34/5-3i in polar form
Click here to see answer by MathLover1(20849)

Question 1124675: I want solution of my question -34/5-3i in polar form
Click here to see answer by Alan3354(69443)

Question 1125241: how do you find he remaining zeroes of f if the degree of a polynomial is 4, and the zeroes are i,2 and-2
Click here to see answer by MathLover1(20849)

Question 1125241: how do you find he remaining zeroes of f if the degree of a polynomial is 4, and the zeroes are i,2 and-2
Click here to see answer by solver91311(24713)

Question 1125241: how do you find he remaining zeroes of f if the degree of a polynomial is 4, and the zeroes are i,2 and-2
Click here to see answer by ikleyn(52750)

Question 1125929: I have a question where it asks me to solve an quation x^2 -2=7 using the indicated method. a. solve by graphing b. solve by factoring c.solve by taking square roots
Click here to see answer by josgarithmetic(39613)

Question 1126011: divide and simplfy
{{(m^2-9/m^2+5m+6) / (3-m/m+2)}}
Click here to see answer by MathLover1(20849)

Question 1126556: prove that: 1+2+3+....+n = n(n+1)/2
Click here to see answer by ikleyn(52750)

Question 1126654: with the Foci given write a equation for ellipsis in standard form
{{Foci = (-5,0) (5,0) = (x^2 / 169) + (y^2 / 144) =1}}
don't understand standard form
Click here to see answer by ikleyn(52750)

Question 1126803: find the period and amplitude
{{y= 5 + cos x}}
Thank you
Click here to see answer by Alan3354(69443)

Question 1126804: find the period and amplitude thank you
{{y = 1 + sin x}}
Click here to see answer by MathLover1(20849)

Question 1126806: If point P is on terminal side of an angle find 6 trigonometric rations for ᴓ
{{P (-5, -6)}}
Click here to see answer by MathLover1(20849)

Question 1127246: Find all the zeros (real and complex) of f(x)= 2x^5-11x^4+19x^3-17x^2+17x-6. The final answer has to be in factored form.
Click here to see answer by stanbon(75887)

Question 1127372: Find the values of x and y that make the equation true.

By the way, x and y are variables and i is imaginary number. We have covered complex numbers, imaginary numbers, factoring, square rooting, Quadratic formula and equations, but I still don't know what to do. I was thinking about making it equal to 0 but it isn't standard form. I do not know what the first step that I need to take is, please help?
Click here to see answer by ikleyn(52750)

Question 1127519: solve for exponential function please show me Thank you
{{f(x)=5^x;f(2),f(-2),f(-1),f(3)}}
Click here to see answer by MathLover1(20849)

Question 1128215: 3(√3+i√7)
Click here to see answer by Alan3354(69443)

Question 1128382: Express in simplest form, in terms of i. 2[SQRT(-81)] - 2[SQRT(-100)]
Please help with this question, i have no idea where to start! thanks!
Click here to see answer by jim_thompson5910(35256)

Question 1128605: Please show me steps for solving using combination and probability formulas
A woman has 14 different shirts - 10 white - 4 red if she randomly chooses 2 what is probability she will choose 2 white shirts. what is solution in fraction and percent
Click here to see answer by ikleyn(52750)

Question 1128631: Is there a solution I don't think so. Thanks
6 different numbers on 11 cards; one 1, three 2's, two 3's, three 4's, one 5,
and one 6. 3 cards are drawn in a row with replacement. What is probability they all are 6's?

Click here to see answer by MathLover1(20849)

Question 1128604: Please show me steps for solving using combination and probability formulas
class has 11 boys and 14 girls 4 sheets to handout to 4 different students at random what is probability all boys answer is 3/115 is this right? please show me Thank you
Click here to see answer by greenestamps(13195)

Question 1129875: List the possible solutions:

I tried grouping but that was a dead end and I don't know what else to do with this because it has 4 terms. Could you please help?

Click here to see answer by rothauserc(4718)

Question 1130036:
Click here to see answer by josgarithmetic(39613)

Question 1130036:
Click here to see answer by stanbon(75887)

Question 1130304: I have no idea what im doing when it comes to expressions and imaginary numbers
Click here to see answer by ikleyn(52750)

Question 1131314: square root of -4 times square root of -3
Click here to see answer by MathLover1(20849)

Question 1131803: Convert expression into fractional exponential form and word expression by writing in word form
{{2 sqrt x^3}} I think it is x^3/2 and written expression is 2nd root of x to the 3rd power.
Please help I think this is right. Thank you
Click here to see answer by MathLover1(20849)

Question 1131802: Please help
Convert expressions into fractional exponential form or a radical expression by writing in word form
{11^7/8} not sure if 8sq rt 11^7 or word expression is 8th root of 11 to the 7th power
Click here to see answer by MathLover1(20849)

Question 1132374: Given that S =

1
_______________________________________________
1/2008 + 1/2009 + 1/2010 + ... + 1/2017
Find the largest whole number smaller than S ?
Click here to see answer by MathLover1(20849)

Question 1132375: 2017 soldiers were lined up in a file. The commander ordered them to number off 1,2,3,4,5,1,2,3,4,5,1... starting from the first soldier. He then ordered them to number off 1,2,3,4,1,2,3,4,1... starting from the last soldier. How many soldiers had the same number both times?
Click here to see answer by ikleyn(52750)

Question 1132569: Find all solutions to the equation (x - 1)^2 = -4.
Click here to see answer by t0hierry(194)

Question 1132630: Compute i(2 + i) - (3 - 5i).
Click here to see answer by ankor@dixie-net.com(22740)

Question 1132631: Compute i(2 + i) - (3 - 5i).
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