Questions on Algebra: Complex Numbers answered by real tutors!

Tutors Answer Your Questions about Complex Numbers (FREE)

Question 666080: Evaluate i^225
Click here to see answer by Alan3354(69443)

Question 666205: 124t+i^2

Click here to see answer by swincher4391(1107)

Question 666226: How do I go about solving this problem? Simplify the following quotient of complex numbers into the form a+bi.
-4-3i over 2-1
Thank you!
Click here to see answer by Alan3354(69443)

Question 666443: what is the answer of this questions:
1.) (-3-3√3)^2
2.) 5 �i
3.) 1�(2i-3)
4.)(3+2i�(2-i)
5.) (3+ 2i) � 4
6.) 1 � ( 3+ √-2)

Click here to see answer by swincher4391(1107)

Question 666718: x3 − 125 = 0 find all solutions of the equation
Click here to see answer by ewatrrr(24785)

Question 666718: x3 − 125 = 0 find all solutions of the equation
Click here to see answer by MathLover1(20849)

Question 667514: Factor 4x^3+16x would it be prime or can you factor it?
Click here to see answer by ewatrrr(24785)

Question 667514: Factor 4x^3+16x would it be prime or can you factor it?
Click here to see answer by lynnlo(4176)

Question 667803: find the square root of (1-2 sq rt 2i)?
Click here to see answer by Alan3354(69443)

Question 667803: find the square root of (1-2 sq rt 2i)?
Click here to see answer by MathLover1(20849)

Question 668239: We're suppose to write each problem in the form of bi where "i" is sqrt ( -1 ) }}}
I need help with sqrt ( -25 ) }}}
Click here to see answer by ReadingBoosters(3246)

Question 668244: We are suppose to solve the quadratic equations in the complex number system using the quadratic formula.
3x^2-2x+7=0
Click here to see answer by stanbon(75887)

Question 668244: We are suppose to solve the quadratic equations in the complex number system using the quadratic formula.
3x^2-2x+7=0
Click here to see answer by josmiceli(19441)

Question 668409: - (square root) -48
Click here to see answer by Alan3354(69443)

Question 668978: Evaluate the expression {2 - 4i}/{8i} and write the result in the form a+ b i.
Click here to see answer by Theo(13342)

Question 669665: The stated problem: Given that the polynomial function has the given zero, find the other zeros. f(x)= x to the third minus 4x squared + 14x -20; the given zero is two.
I am able to get to the end by using division or synthetic division with a final quotient of: x squared -2x+10 then use that in a quadratic equation and end with 2 + or - 6 divided by two. My answer (which is wrong is 1+3, 1-3)The correct answer is 1+3i & 1-3i & of course -2. I don't understand. Please if you can, explain. Thanks!
Click here to see answer by ReadingBoosters(3246)

Question 669982: how to prove 6+8i/1-3i=9+13i/5+5i
Click here to see answer by lostin(9)

Question 670307: Please help me simplify the two following equations and put the answer into a+bi form:
(a) i^42
(b) (2*cos(pi/12)+2*i*sin(pi/12))^4
Click here to see answer by Alan3354(69443)

Question 670439: I am taking college Algebra this year and I forgot how to solve this problem may you please help me.
The problem is this: 7/8+i.
In the instructions it says that I have to write it in the form A+Bi
Click here to see answer by Alan3354(69443)

Question 670502: I have been given this question, can you help me out.Find all roots of the equation z^5 = i, i.e. find the five values of i^(1/5)and show them on an Argand diagram.
Click here to see answer by Alan3354(69443)

Question 670501: I have been given this question, can you help me out.Find all roots of the equation z5 = i, i.e. find the five values of i^(1/5)and show them on an Argand diagram.
Click here to see answer by Alan3354(69443)

Question 670718: Find the Quotient
8i/2+2i
Click here to see answer by ewatrrr(24785)

Question 671241: Find all complex solutions of 4x^2 +5x +2 =0 .
(If there is more than one solution, separate them with commas.)

Click here to see answer by MathLover1(20849)

Question 672283: Form a polynomial f(x) with real coefficients having the given degrees and zeros.
Degree 4; zeros:-3+4i;2 multiplicity 2
f(x)=a(_____)
(Type an expression using x as a variable. Use integers or fractions for any numbers in the expression.

Click here to see answer by ewatrrr(24785)

Question 672282: Show work, find the complex zeros of the polynomial function, and write f in factored form.
f(x)=x⁴+22x�+21

Click here to see answer by ewatrrr(24785)

Question 672357: A student answered 705 of the questions on their math exam correctly. If she answred 21 questions corrects how many questions were on the exam?
Click here to see answer by Alan3354(69443)

Question 672484: Please help me solve this equation: x^2+16=-49
I have tried adding positive 16 to -49 to get -33 but i can't get past square routing the plus, minus ( -33 ). Thank You
Click here to see answer by mananth(16946)

Question 672619: how to we solve the following equation to find the complex number/roots?
x^2-8x+30=0
I was sick and was absent when my class went over complex numbers and roots so Im not familiar with it.
Thanks(:

Click here to see answer by Alan3354(69443)

Question 672609: Please help me solve this equation: x^2-20x=125
We have to solve the equation to see what its roots/complex numbers are.

Click here to see answer by jim_thompson5910(35256)

Question 672872: What are the zeros of this function:
f(x)=(x+6)^2+2

Click here to see answer by MathLover1(20849)

Question 672826: list the non real solutions of the equstion 2x^2-4x+4

Click here to see answer by jim_thompson5910(35256)

Question 673567: Can you please help solve this problem: 3s^2+2=-62
Click here to see answer by ReadingBoosters(3246)

Question 670734: Prove that i + cube root 3 is algebraic.
I know you set x= i + cube root 3.
I�m having trouble from that point on.
Is it (x-i)^3 = 3 ? help!

Click here to see answer by ReadingBoosters(3246)

Question 670496: How do u solve 1+3I over 2+3i
Click here to see answer by ReadingBoosters(3246)

Question 668475: write the expression as a complex number in Standard form (6i)(3+2i)(1-i)
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Question 654175: Simplify each expression (and only one of them has an imaginary number)
Problem 1:(6+2i)+(1-2i)
Problem 2:(5+4i)-(1+2i)
Click here to see answer by ReadingBoosters(3246)

Question 654178: Only one of these has an imaginary number when it's simplified
Problem 1/3: 2i-(3+2i)
Problem 2/3: -(-4)
Problem 3/3: 3+√5
Click here to see answer by ReadingBoosters(3246)

Question 667688: The sum of two complex numbers is -3i+5i. If one of these complex numbers is 1-8i , what is the other number?
Click here to see answer by ReadingBoosters(3246)

Question 674250: 64x^(2)-16x+3
Click here to see answer by Alan3354(69443)

Question 674290: Identify all zeroes of f(x)=x^3-4x^2-5x and write as a product of it's linear factors.

Click here to see answer by ewatrrr(24785)

Question 674877: can you help me solve this problem: (10+15i)-(48-30i).
I tried to solve it but i am pretty sure it is wrong:-38+45i
Click here to see answer by MathLover1(20849)

Question 674576: how do i do this problem (5-3i)-(3+2i)
Click here to see answer by ReadingBoosters(3246)

Question 674808: write and expression for the sum of a complex number a+bi and its complex conjugate.__________________ Is this sum a real number, a complex number or both?
i tried (a+bi)+(a-bi)= a+a - (b-b)i and i dont know what to do next
Click here to see answer by ReadingBoosters(3246)

Question 674958: How to solve 2x+7+(3-yi)
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Question 674269: Find all the zeroes, real and/or complex, for f(x)=2x^2+10x-3.
Click here to see answer by ReadingBoosters(3246)

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