Questions on Algebra: Complex Numbers answered by real tutors!

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Question 183494: Find the solutions to: x^2 + 8x=-16
Find the solutions to: x^2-16x= -64
Find the solutions to : x^2+8x+15=0 The sum of the solutions is:
Click here to see answer by Alan3354(69443)

Question 187866: i neeeeeeeeeeeeeeeeeeeeeeed help. Algebra 2. if you know it please call me any time 469-693-6329.
Click here to see answer by user_dude2008(1862)

Question 188029: i neeeeeeeeeeeeeeeeeeeeeeed help. Algebra 2. if you know it please call me any time 469-693-6329.
Click here to see answer by Alan3354(69443)

Question 188241: Identify both intercepts as ordered pairs for the linear equation 5x-7y=35.
1] ANSWER: (0,-5),(0,7) This is what I came up with but not sure if I am correct? Thanks

Click here to see answer by solver91311(24713)

Question 188623: Is(-1/2)i the reciprocal of 2i? If not what is the reciprocal of 2i and what steps do I take to find it?
Click here to see answer by stanbon(75887)

Question 188632: Does + i = 0
If not what does it equal?
Click here to see answer by Mathtut(3670)

Question 188636: Does 2i times the square root of -4 equal -4?

I think 2i times the square root of -4 does equal -4, because the square root of -4 equals 2i and (2i)(2i) equals 4i^2. i^2 = -1 so (-1)(4)= -4.

So I am wondering if my solution of -4 correct?
Click here to see answer by ptaylor(2198)

Question 188637: True or False....
1 + 3/(2 − i) = 5 - i

Can you provide a detailed explanation of how you found the solution?
Click here to see answer by jim_thompson5910(35256)

Question 188659: Solve the equation. Write the solutions in the form a+bi.
x^2+10x+30=0

Click here to see answer by jim_thompson5910(35256)

Question 188659: Solve the equation. Write the solutions in the form a+bi.
x^2+10x+30=0

Click here to see answer by stanbon(75887)

Question 189013: True of false?
The number (1/2)i is the reciprocal of 2i.

Could you please provide a detailed explanation on how you achieved you answer, and show me how the product of 2i and its reciprocal equal 1.
Click here to see answer by jim_thompson5910(35256)

Question 189079: Please help me solve this equation:
Directions: tell whether the statement is always true, sometimes true, or never true. Explain your reasoning.
Problem:
The LCD of two rational expressions is the product of the denominators.
Thanks! =)
Click here to see answer by jim_thompson5910(35256)

Question 189055: 4x / x-1 - 2/x+1 - 4/x^2 - 1
Click here to see answer by kitty_tin(5)

Question 189153: This question came from an exam paper in Australia:
Solve: z^2=3+5i
I presume that the question requires an answer in the form z = a + bi
I have tried, but I end up getting a square root of a square root for an exact answer, or approx. +1.1897 or -1.1897 for b and approx. +2.1013 or -2.1013 for a.
I obtained this by letting z = a + bi, and therefore z^2 = a^2 + 2abi -b^2, and therefore a^2 - b^2 equals 3, and 2ab equals 5, and then solving these two simultaneous equations.
Is there a simpler way, please?

Click here to see answer by Alan3354(69443)

Question 189232: Write the complex number
2-i
(over)
5+i
in the usual a + bi form
Click here to see answer by jim_thompson5910(35256)

Question 189241: x to the second power +8x+5=0
Click here to see answer by jim_thompson5910(35256)

Question 189424: write the complex number i^15 in the usual a + bi form
Click here to see answer by Mathtut(3670)

Question 189417: Find the reciprocal of the complex number 3 + 2i
Give your answer in the usual a + bi form
Click here to see answer by Mathtut(3670)

Question 189467: find the product (2+i)(3+4i)
answer in the usual a+bi form
Click here to see answer by Earlsdon(6294)

Question 189468: what are the coordinates of the complex number -i when we plot it in the complex plane?
Click here to see answer by user_dude2008(1862)

Question 189496: find the magnitude of the complex number 3-7i
Click here to see answer by Alan3354(69443)

Question 189902: Simplify the expression and write the result in standard a+bi form. Show all work.
1/3+i=
Click here to see answer by jim_thompson5910(35256)

Question 190028: Symplify the imaginary number expression, write the result in standard a+bi form.
1/3+i=
Click here to see answer by solver91311(24713)

Question 190277: (4 - i)(4 + i)
i had 16 + 4i -4i - 0
but i think im doing this completely wrong . I would provide you with the book, but my class does not learn off of books therefore I do not have one.
Click here to see answer by jim_thompson5910(35256)

Question 190309: Given m/(1+i)=1-ni, m and n are real numbers, what is the value of m+ni?

Click here to see answer by ptaylor(2198)

Question 190310: Hi. I need help finding the three cube root of -2-2i.

Click here to see answer by Alan3354(69443)

Question 183310: Divide and Simplify
2+5i/3-i
Click here to see answer by Alan3354(69443)

Question 190322: This is not the right category i don't think but i really need help with this problem. I got the answer: x^2+x+1+(x^3/x^4-x^2+1 ) <-- (this is the remainder)
here is the problem:
x^6+x^5+x^3+x+1/x^4-x^2+1

I keep getting the remainder wrong. the book says that it should be 2x^3 instead of x^3. how?
Click here to see answer by solver91311(24713)

Question 190594: Select any imaginary number (of the form "a + bi," where a and b are non-zero real numbers), and another number such that the sum, difference, product, or quotient of the two numbers is a real number.
Am very lost here. Thanks!
Click here to see answer by jim_thompson5910(35256)

Question 190791: how do i simplify radicals?
Click here to see answer by solver91311(24713)

Question 190827: In problems 11 and 12, use the fact that the load a beam with a rectangular cross section can support is jointly proportional to the beams width and the square of its depth and inversely proportional to it's length.
11. A beam 2 cm wide and 5cm deep can support a load of 630kg. What load can it support when turned on its side?
Click here to see answer by Mathtut(3670)

Question 190851: what is i^17 in the usual a + bi form?
Click here to see answer by Mathtut(3670)

Question 190880: Let a,b,c,and d be positive. Prove the follwing properties of the proportion a/b=c/d.
17. a+b/b=c+d/d
how do i prove this? please help.
Click here to see answer by jim_thompson5910(35256)

Question 190881: Please help i am so confused and i keep coming up with these horrible fractions. this is supposed to be synthetic division.
6t^4+5t^3-10t+4/3t-2
Click here to see answer by Edwin McCravy(20054)

Question 190888: In problems 11 and 12, use the fact that the load a beam with a rectangular cross section can support is jointly proportional to the beams width and the square of its depth and inversely proportional to it's length.
11. A beam 3 cm wide and 5cm deep can support a load of 630kg. What load can it support when turned on its side?
please please please explain what you are doing if you answer this problem. it is so confusing i cant even think of what to do.

Click here to see answer by solver91311(24713)

Question 190905: Hello. I am not positive I put in the right topic. We are learning complex algebraic fractions. I solved a problem, and I am not sure if i solved it correctly, and if I did I am not sure how to show the work for the check. the problem is x-1/x + 7/3x = 9/4x
we have to cancel the denominators by finding an LCD and multiplying by that.
EX: LCD for the above problem is 12x, so i would x x-1 x 12x and the x and 12 x simplify it to 12x-12.
The answer i got is 11/12, but I am not sure if it is correct.
If not, please provide help on solving it because I am quite confused, and if you don't mind please assist me in the check (if the correct solution is a fraction because my teacher goes too fast and never stops so I am not able to ask for help)
thank you so much for your help :)
~Katie
Click here to see answer by ankor@dixie-net.com(22740)

Question 190987: i need to know these answers ASAP please is for a math thing i have to pass it
|2i|
|5 + 12i|
|2 - 2i|
|1 - 4i|
|3 - 6i|

Click here to see answer by orca(409)

Question 191036: In problems 11 and 12, use the fact that the load a beam with a rectangular cross section can support is jointly proportional to the beams width and the square of its depth and inversely proportional to it's length.
11. A beam 2 cm wide and 5cm deep can support a load of 630kg. What load can it support when turned on its side?
please please please explain what you are doing if you answer this problem. it is so confusing i cant even think of what to do.

Click here to see answer by stanbon(75887)

Question 191251: Find the number of times r is a root of P(x)=0.
P(x)= x^4+4x^3-16x-16; r=-2
i found the depressed eruation twice but the numbers were all messed up. please help and explain.
Click here to see answer by Edwin McCravy(20054)

Question 191003: (3) 1/2+2i
Is this a complex number? I am supposed to simplify before I classify. Thank You!
Click here to see answer by Alan3354(69443)

Question 191719: Hi please help me solve the following problems.Thanks in advance...
1)Multiply as indicated.If possible, simplify any radical expressions that appear in the product.
(4 + sqrt of 5)(10-3sqrt of 5)
2)Solve each radical expression.
x=(sqrt of 3x+7)-3
3)Find each product.Write imaginary results in the form a + bi.
(7-2i)(-3+6i)

Regards,

Kattie
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