Questions on Algebra: Complex Numbers answered by real tutors!

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Question 250429: How do you solve 4+9i/12i into an expression of standard form?
Click here to see answer by stanbon(75887) About Me 
Question 250429: How do you solve 4+9i/12i into an expression of standard form?
Click here to see answer by jsmallt9(3758) About Me 

Question 250525: I'm on algebra 2 and need help with my work please. It says find the value of the complex numbers pairs. Please check my work.
1. (5+3i)+(-4+2i)
(5-4)+(3i+2i)Answer 1+5i
2. (5+3i)-(-4+2i)
(5+4)+(3i-2i)Answer 9+i
3.(2-4i)(3+i)
6-10i-4(-1)=6-10i+4 Answer 10-10i
4. (2-4i)/(3+i)
(2-4i)/(3+i)Answer -4i+2/i+3
5. (1-i)(3+2i)
(1-i)(3+2i)=3+2i-3i-2i^2 Answer 5-i

Click here to see answer by richwmiller(17219) About Me 

Question 250725: Good evening, I am currently studying for an important exam tomorrow morning, and I am wondering if you can solve my question:
I got this problem on a test. The directions say to simplify.
(2-i sqrt(5)/(2+i sqrt( 5 )
May I ask how to do this problem?
Thanks!

Click here to see answer by MRperkins(300) About Me 

Question 250966: (2+3i)(6+4i)=12+8i+18i+12i^2
=12+26i-12 (since i^2 = -1)
=26i ans

Click here to see answer by vksarvepalli(154) About Me 

Question 251402: i=v/z given v =-1+7.4j gven z = 3.1+5.1j
1 What is the modulus of the current
2 what is the argument of the current in radians

Click here to see answer by rfadrogane(214) About Me 

Question 251815: If a matrix B results from a matrix A by applying an elementary row operation, is there always an elementary row operation that can be applied to B to recover A ?
Show that if the linear equations

x1 + kx2 = c and x1 + lx2 = d have the same solution set, then the equations are identical

Click here to see answer by richwmiller(17219) About Me 

Question 251947: Solve over the set of complex numbers: 3g^2-4g+5=0
Click here to see answer by nyc_function(2741) About Me 

Question 252020: (5+2i)+(4-7i)
Click here to see answer by richwmiller(17219) About Me 

Question 252021: (5+2i)-(4-7i) and (4-7i)-(5+2i)
Click here to see answer by richwmiller(17219) About Me 

Question 252055: Express (3+2i)(6-i)/(2+i)(4+2i) in a + bi form. Round a and b to hundredths.
Thanks for any help!

Click here to see answer by solver91311(24713) About Me 

Question 252071: solve and express your answers in simplest a+bi form.
(x squared/4)=x-2 i tried to put all the x's on one side and
i got -x squared+x-8 i have no idea if thats right and if it is
i dont know where to go from there

Click here to see answer by jim_thompson5910(35256) About Me 

Question 252083: please solve for Y
(X-Y)/Y=Z
I got as far as:
1/Y=Z/X + 1/X

Click here to see answer by jim_thompson5910(35256) About Me 
Question 252083: please solve for Y
(X-Y)/Y=Z
I got as far as:
1/Y=Z/X + 1/X

Click here to see answer by nyc_function(2741) About Me 

Question 252093: *i tried to put this in the geometry category for pythagreon thereom but for some reason it wouldnt let me
The hypotenuse of a right triangle is 2cm longer than one leg and 4cm longer then the other.
a.draw and label a diagram
- i attempted to do this and i got the hypotenuse to be 4x and one leg to be 2x and the other to be x
b.let x represent the length of the hypotenuse. Use the pythagreon thereom to write an equation to solve for x.
-i used a squared + b squared=c squared and got 2x squared plus x squared= 4x squared, i was not sure if this was correct but i had to make an attempt
c. find the solutions from the equation in part b.
- i tried to solve for x but i got zero which cant be right because if you plug it into the equation you get zero for all the sides which would make this whole question pointless
help would be very appreciated

Click here to see answer by stanbon(75887) About Me 

Question 252022: (2-4i)/(2)
(2+4i)/(-5+2i)
(1-i)/(-4-6i)
(3+5i)/(-2+i)

Click here to see answer by jsmallt9(3758) About Me 
Question 252022: (2-4i)/(2)
(2+4i)/(-5+2i)
(1-i)/(-4-6i)
(3+5i)/(-2+i)

Click here to see answer by palanisamy(496) About Me 

Question 252126: show that 3^2008+4^2009 can be written as product of two positive integers each of which is larger than 2009^182.
Click here to see answer by drk(1908) About Me 
Question 252126: show that 3^2008+4^2009 can be written as product of two positive integers each of which is larger than 2009^182.
Click here to see answer by Edwin McCravy(20054) About Me 

Question 252410: What are the other roots of y=x%5E3-6x%5E2%2B13x-20 if one of its roots is 1+2i
Click here to see answer by drk(1908) About Me 

Question 252577: (5+3i)/(5-3i)
Click here to see answer by drk(1908) About Me 

Question 252585: what is the answer to the complex number x=2-3i
Click here to see answer by Edwin McCravy(20054) About Me 
Question 252585: what is the answer to the complex number x=2-3i
Click here to see answer by richwmiller(17219) About Me 

Question 252737: 9) the expression i to the 25 power is eqivalen to?
a) -i
b)1
c)i
d)-1
10) What does the expression i to 100th power + i to the 101 power + i to the 102 power equal?
a) 1
b)i
c)-i
d)-1
11) What is the sum of 5-3i and the conjugate of 3+2i?
12) The expression 3i(2isquared-5i) is eqivalent to?
a)15-5i
b)-15-5i
c)8+5i
d)2-5i

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

Question 252858: If i = √-1, then 4i(6i) =
Click here to see answer by richwmiller(17219) About Me 

Question 252859: if i = sqrt(-1), then 4i(6i) =
Click here to see answer by palanisamy(496) About Me 

Question 252860: What is the equivalent form of b?
A. (3-i)/(4) B. (3-i)/(5)
C. (4-i)/(4) D. (4-i)/(5)

Click here to see answer by richwmiller(17219) About Me 

Question 252863: +x%5E2%2B2x%2B2=0+
Click here to see answer by richwmiller(17219) About Me 

Question 252871: +x%5E2%2B2x%2B2=0+
Click here to see answer by Alan3354(69443) About Me 

Question 252864: (2)/(3+i)
Click here to see answer by Alan3354(69443) About Me 

Question 252963: Can you help me with the corrections for my math test i failed and i want to do better. What we are doing are radicals/complex numbers.

3 is the index square root and inside of the square root is 32x to the sixth y to the ninth

Click here to see answer by drk(1908) About Me 

Question 252973: The base 10 representation of 9(exponent 6) is 531,441. What is the base-9 representation of 531,440?
Click here to see answer by Greenfinch(383) About Me 
Question 252973: The base 10 representation of 9(exponent 6) is 531,441. What is the base-9 representation of 531,440?
Click here to see answer by dabanfield(803) About Me 

Question 253081: How do you simplify: (x+3)/(6) divided by 1+(x/3)
*note* / = fractions

Click here to see answer by jim_thompson5910(35256) About Me 

Question 253151: What is the equivalent form of 2/(3+i)?
Click here to see answer by jim_thompson5910(35256) About Me 

Question 253437: 5-3i/6+3i find the real and imaginary part
Click here to see answer by palanisamy(496) About Me 

Question 253699: 2x² + 26x + 84
I cannot figure this out. Please help.

Click here to see answer by scott8148(6628) About Me 

Question 253751: I dont understand how to write complex numbers in standard form such as;
(6+3i)+(-4+10i) the answer I recieved was 15i+11, am I doing this correctly?

Click here to see answer by Edwin McCravy(20054) About Me 

Question 253807: 3 + 2i/2 + i
Click here to see answer by drk(1908) About Me 
Question 253807: 3 + 2i/2 + i
Click here to see answer by palanisamy(496) About Me 

Question 253854: Solve for y
250x+400y=-50

Click here to see answer by checkley77(12844) About Me 

Question 253852: Solve
0.2m - 0.5n = 1, for n

Click here to see answer by checkley77(12844) About Me 

Question 253890: find the complex number from the data below
r=1 Q= 60
r=7 Q=45
r=3 Q=90
R=6 Q=45
R=8 Q=93

Click here to see answer by richwmiller(17219) About Me 

Question 253915: Express the product of 4 – 3i and 2 + i in simplest a + bi form.
1. 2 + 11i
2. 2 – 11i
3. 11 + 2i
4. 11 – 2i
I have an application on my graphing calculator allowing me to add/subtract/multiply/or divide complex numbers. I used that and came up with 4-5i? Yet that isn't an answer choice?

Click here to see answer by Theo(13342) About Me 
Question 253915: Express the product of 4 – 3i and 2 + i in simplest a + bi form.
1. 2 + 11i
2. 2 – 11i
3. 11 + 2i
4. 11 – 2i
I have an application on my graphing calculator allowing me to add/subtract/multiply/or divide complex numbers. I used that and came up with 4-5i? Yet that isn't an answer choice?

Click here to see answer by scott8148(6628) About Me 

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