Questions on Algebra: Complex Numbers answered by real tutors!

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Question 371637: Find the values of x and y that make each equation true.
5i - 6x = (10y)i + 2

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Question 372039: how do you simplify (-3i)(4i)(-5i)
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Question 372052: 3x+2y=11
4x+y=-2

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Question 372059: Sqrt-100a^4b^2
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Question 372254: Sole the inequality, and express the solutions in terms of intervals.
X^4 is greater than or equal to x^2

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Question 372341: Solve
%284x%5E2%29%2B%2825%29+=+%2817%29

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Question 372345: Solve
+%288%29%2F%28sqrt+%28+60+%29%29

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Question 372345: Solve
+%288%29%2F%28sqrt+%28+60+%29%29

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Question 372399: i^103
how do I simplify this?
something about dividing by four and taking the remainder??

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Question 372532: Write as a complex number in standard form.
8+i / 1-2i

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Question 372530: Write as a complex number in standard form.
(2+11i) - (6-i)

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Question 372616: 4x^3-5x/2x+1
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Question 372780: What is the complex conjugate of the (square root of -400) + 17?
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Question 372780: What is the complex conjugate of the (square root of -400) + 17?
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Question 372933: The expression (-1+i)^3 is equivalent to
A) 2+2i
B) -1-i
C) -3i
D) -2-2i
I tired doing it but I didn't come up with any of the answers above. I think I did it wrong. So first I do (-1+i)(-1+i)=1-1i-1i+i^2. Then I multiplied
1-1i-1i+i^2 with -1+i. Please help and explain it step by step. Thank you!

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Question 373060: SOLVE:
3x^2 - 41x = -60

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Question 373191: How do you simplify (7i-6i) - (5+6i), please and thank you?

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Question 373182: Which of the following is the correct notation for the complex number sqr(-100 - 84)?
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Question 373307: I need help with this problem.
We are doing a lesson entitled "Writing Equations From Solutions"
x= 3 +- (plus or minus) 4i
I need to find the sum and the product to make it into an equation.
I tried doing it and I got an answer, but I want to make sure I did it right, because I don't think I did.
I got x^2-6x+25, but, again, I don't think I did it right.
Please and thank you for your help.

Click here to see answer by edjones(8007) About Me 

Question 373620: 3-x=3x+27
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Question 373662: Simplify the following expression.
sqrt+%28-98%29+sqrt+%28-50%29+

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Question 373658: Add the complex expressions, and simplify.
(-5.2 – 5.3i) + (-8.5 + 6.9i)

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Question 374008: I know the answer is 25, but im unsure if it's negative or positive.
(-5i)^2
the i is the imaginary number, not a variable.

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Question 374356: Solve 125x^3 + 343 = 0. Find all complex roots.
How do I do this?

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Question 374909: Find the power of the following complex number: z=(sqrt(2)-i)^(4)
This one has been killing me.... thanks

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Question 374909: Find the power of the following complex number: z=(sqrt(2)-i)^(4)
This one has been killing me.... thanks

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Question 375258: what is the product of the complex numbers (3+i) and (3-i)
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Question 375258: what is the product of the complex numbers (3+i) and (3-i)
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Question 375262: whatis the sum of the complex numbers (12-5i) and (-3+4i)
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Question 375265: question 1)what are the solutions to the equation x^2-6x+5=-8

Click here to see answer by mananth(16946) About Me 

Question 375264: I am having a difficult time simplifying the following in terms of a + bi:
-i/8 + 8i


i represents an imaginary number

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Question 375259: what are the solutions to the equation x(2)+2x+2=0
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Question 375266: question 2)what are the x-intercepts of the graph 0f y=12^2-5x-2?
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Question 375272: 1/3+4i + i/3-4i

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Question 375288: How do you solve i^199 algebraically. PLease show all the math
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Question 375712: (2w+i)/(w-i) = (3w+4i)/(w+3i)
I have tried solving this by bringing one side over to the other, making a common denominator, and subtracting, and setting it equal to zero, but then I get stuck. There must be some trick to this. I appreciate you looking at this problem. =)

Click here to see answer by robertb(5830) About Me 

Question 375728: On a varsity baseball team 1/2 of the players are seniors, 1/4 of the players are juniors, and the remaining 5 players are sophomores. How many players are on the team?
Click here to see answer by Fombitz(32388) About Me 

Question 376035: Hi,
My question is about complex numbers. My problem is as follows: -2i / 6 + 5i
I understand the first step is to multiply by the denominator's conjugate (I think). This would be 6 - 5i. My work shows: -12i + 10i^2 / 36 - 10i^2
Following that: -12i - 10 / 46
(I turned
the -10i^2, in the denominator, into +10. I am unsure if this is correct.)
Finally: -6i - 5 / 23
I apologize for typing a lot here; I only attempt to be clear with my problem and show my work. Thanks!

Click here to see answer by mananth(16946) About Me 

Question 376174: (x/y)-(y/x)
____________
(x/y)-1

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Question 376181: 36 vehicles are parked in a garden. Some of them were scooters and taxies. The total number of wheels of these vehicles were 100.Find out how many were taxies and scooters.
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Question 376075: Pls help! If you can answer either one of them, I am so appreciated.
1.(x-2)(x+3)^2 / x^4-13x^2+36.
2. If polynomial p(x)=2x^3 -3x^2-10 has exactly one real zero r, -1<=r<=1, which following is true: A. -1<0 B. 0<1 or C.other answer?
3. what is a portion of graph of y= y|-|-x|| ? graph it.
4. what's X if 3x^2-2+7=0 then (x- 1/3)^2= ?
5. If y=b^x and b>1, which one is true: A log y b=x. B. log b x=y. C. other answer.
6. The radian measure of angle containing x degree is: A.Pi x/180 B. Pi x/ 180. C. other answer
7.If f(x)= x^2, when x>0 and c>1, then f(x^c)= ?
8 2log10x-log10y=?
9.for X# 0, if f(x)3x^2 and g(x)=1/2, then f(g(x))= ?
10 3+i/2-i = ?
11. If cotx^0=1, then x=?
12. Y=x+1 and x.y=2 so what x?
13. where can you defined tan X=?
14. If f(x)=3-2x and f^-1 denotes the inverse of f, then f^-1(o) is ?

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Question 376282: Complete the following equations:
1. (−[1/2] + [(√3)/2]i)3=_____+_____i
2. (−[1/2] − [(√3)/2]i)3=_____+_______i
3. (−[1/2] + [(√3)/2]i)3000=_____ +_____ i
(−[1/2] − [(√3)/2]i)3000=_____+_____i
I dont understand how to do these...

Click here to see answer by Alan3354(69443) About Me 

Question 376535: how do you solve 3+4i divided by 5-i
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 377277: If 1+2i is a root of X^2-kx+5=0, find the value of k
the x^2 means that the x is squared.

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Question 377365: simplify (4-3i)/(3-2i)
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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