Questions on Algebra: Complex Numbers answered by real tutors!

Tutors Answer Your Questions about Complex Numbers (FREE)

Question 395063: Find all complex solutions of
2x^2-x+6=0
Click here to see answer by stanbon(75887)

Question 393953: (2-3i)^2 - [(5-3i)(5+3i)]
Click here to see answer by robertb(5830)

Question 395529: Can you help me rewrite this equation in quadratic form?
(x-(2+i))(x-(2-i))= 0
Click here to see answer by stanbon(75887)

Question 395529: Can you help me rewrite this equation in quadratic form?
(x-(2+i))(x-(2-i))= 0
Click here to see answer by richard1234(7193)

Question 395693: find the exact roots for the following: x^3-8x^2+4x+48
Click here to see answer by ewatrrr(24785)

Question 395837: Hello, I a having a hard time with this complex numbers problem. Any help is greatly appreciated!
The point (-4+bi)has been plotted on the complex plane ad r=8. If 0�≤θ≤180� find the value of b. Leave your answer as a radical.
θ= Theta
Click here to see answer by jim_thompson5910(35256)

Question 395851: What is the product of the complex numbers (3+i) and (3-i)?
A) 8
B) 10
C) 9-i
D) 10-6i
Click here to see answer by Edwin McCravy(20054)

Question 395851: What is the product of the complex numbers (3+i) and (3-i)?
A) 8
B) 10
C) 9-i
D) 10-6i
Click here to see answer by stanbon(75887)

Question 395846: If i=sqrt(-1), what is the value of i^4?
Any help is greatly appreciated!
Click here to see answer by Earlsdon(6294)

Question 395849: If i=sqrt(-1), then 4i(6i)
A) 48
B) 24
C) -24
d) -48

Click here to see answer by jim_thompson5910(35256)

Question 395841: Hi, I have a big test on complex numbers tomorrow and I am having a very hard time with this particular question:
Directions: On a complex plane, a point z has been graphed. your
If cosθ=(-8)/(22) and (π)/(2)≤θ≤π:
a) Find z in standard form.
b) Find z in trigonometric form. (Use whole degrees)
θ= Theta
π= pi
Click here to see answer by josmiceli(19441)

Question 396279: What is an equivalent form of (2)/(3+i)?
A) (3-i)/(4)
B) (3-i)/(5)
C) (4-i)/(4)
D) (4-i)/(5)
Click here to see answer by ewatrrr(24785)

Question 396290: Hi, I am stuggling very much on these two questions on complex numbers. If you can help, it would be very much appreciated. Thank you!
Directions: In these questions exact values for θ are to be used and answers are to be expressed as a radical.
1. If z=10(cos225�+i*sin225�) in trigonometric form find z in standard form.
2. If z=6sqrt(3)(cos330�+i*sin330�) in trigonometric form find z in standard form.
Click here to see answer by josmiceli(19441)

Question 396389: Find all real values of K for which 3t^2-4t+k=0 has imaginary roots
Click here to see answer by solver91311(24713)

Question 396581: write the complex number in standard form a+bi and clearly identify the values of a and b.
4-Radical-8
____________
2
Click here to see answer by josmiceli(19441)

Question 396679: Why were complex numbers invented
Click here to see answer by stanbon(75887)

Question 396771: Hello, I am struggling with this complex numbers problem:
If z=6√(3)(cos330�+i*sin330�) in trigonometric form, find z in standard form.
√=radical
Thank you for your time!

Click here to see answer by ewatrrr(24785)

Question 396769: It takes a computer 8 days to print all the letters. A new computer can do the same job in 5 days. How long would it take to do the job with both computers working on it?
Click here to see answer by ewatrrr(24785)

Question 396765: John has two investments that produce a $150 income each month. If $1000 more is invested at 9% than at 10% per year, how much was invested at each percent? There were 12 months in that year,
Click here to see answer by ewatrrr(24785)

Question 396764: Hello, how do I figure out this complex numbers problem? Any help is greatly appreciated!
The point (-4+bi)has been plotted on the complex plane and r=8. If 0�≤θ≤180� find the value of b. Leave answer as a radical.
Thank you.

Click here to see answer by jsmallt9(3758)

Question 396778: How do I use a graph to demonstrate the operation of these complex numbers?
1. (7-6i)+(-5-2i)
2. (5-9i)-(-3-12i)
Thank you for your help!
Click here to see answer by richard1234(7193)

Question 397200: preform the operation and get your answer in reduced form of a+bi.
(2+i)/(-3-4i)
i is acting as the imaginary number
Click here to see answer by ewatrrr(24785)

Question 397698: How do i solve the equation _ What is the square root of 4-7i?
Click here to see answer by Alan3354(69443)

Question 397698: How do i solve the equation _ What is the square root of 4-7i?
Click here to see answer by robertb(5830)

Question 397698: How do i solve the equation _ What is the square root of 4-7i?
Click here to see answer by richard1234(7193)

Question 397890: Directions: Simplify the following-
1. 7i^5-8i^4+5i^3-4i^2
2. 6i^4-(3i-7)-8i^2+(4-15i)
3. (6i-7)(7i-6)
4. (8i-6)/2i
5. (10-9i)/(5-3i)

Hello, I am having trouble with these complex numbers problems on my practice test. The real test is next monday but I really don't feel prepared. Any help is greatly appreciated!

Click here to see answer by MathLover1(20849)

Question 397905: Express these complex numbers in standard form correct to one decimal place:
If z=16(cos252�+i*sin252�) in trigonometric form find z in standard form.

Thank you all for your time and assistance!
-ClanMacniall
Click here to see answer by stanbon(75887)

Question 397891: Hi, I am having a hard time with these two complex numbers problems. Can anyone help? Thanks.
Directions: Without using a graph, find the endpoint of the vector that satisfies the following questions.
1. (-5-3i)+(20-7i)
2. (7+8i)-(6+9i)
Click here to see answer by stanbon(75887)

Question 397904: The point (-5+bi) has been plotted on the complex plane and r=9. If 0�≤θ≤180� find the value of b. Leave your answer as a radical.

Thank you all for your time and assistance!
-ClanMacniall
Click here to see answer by stanbon(75887)

Question 397885: write each number in standard form a+bi
(((-3+sqrt(-18))))
------------------
24
Click here to see answer by Tatiana_Stebko(1539)

Question 397895: Choose the correct quadrant to use in this conversion from standard form to trigonometric form:
1) -6-20i

Thank you for your time and consideration!
Click here to see answer by richard1234(7193)

Question 397893: Can anyone help me with these absolute value complex numbers problems? Thank you for your time!
Solve the following:
1) If z=5-12i then |z|=
2) If z=7-√(22i) then |z|=
√=radical or square root of 22i.
Click here to see answer by Alan3354(69443)

Question 397897: For the complex number 8+3i find the value of θ in the trigonometric form (answer to the nearest hundredth of a degree).

I really don't understand this question. Any help is greatly appreciated!
Click here to see answer by Alan3354(69443)

Question 398218: The answer to (4sqrt(-3))(-2sqrt(-18))
Click here to see answer by josmiceli(19441)

Question 398312: 5-4i/2-3i
Click here to see answer by Alan3354(69443)

Question 398481: What is the standard form of 1(4+i) can you please give me the steps so I can learn how to do it
Click here to see answer by stanbon(75887)

Question 398522: Hi, can anyone help with this complex numbers problem?
In these complex numbers questions exact values for θ are to be used and answers are to be expressed as radicals:
1. If z=18(cos315�+i*sin315�) in trigonometric form find z in standard form.
2. If z=4√(3)(cos150�+i*sin150�) in trigonometric form find z in standard form.
Thank you for your time and consideration!
Click here to see answer by stanbon(75887)

Question 398538: Find the (complex) roots of f(x) by solving f(x) = 0 directly, and deduce
that w =
I'm not even sure how to start
Click here to see answer by richard1234(7193)

Question 398794: simplify: 64^ -2/3
Click here to see answer by mananth(16946)

Question 398957: I am having lots of trouble in this area of math, but I'm ask to write the complex number in rectangular form.
7(cos 3pi/2+ i sin3pi/2)
If you can't give answer, help me learn how to solve this, my tutor is away this week.
Click here to see answer by Alan3354(69443)

Question 399468: show an argand diagram of the three roots of the equation
Z^3 -1=0
Click here to see answer by solver91311(24713)

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