Questions on Algebra: Complex Numbers answered by real tutors!

Tutors Answer Your Questions about Complex Numbers (FREE)

Question 67022: how to do these equations
(-4+3i)+(6-10i)
(1-4i)-(-3+5i)
(-2+3i)*(4-8i)
(-1+2i)/(-3+4i)
Click here to see answer by venugopalramana(3286)

Question 67175: how to do these questions?
(-2+3i)*(4-8i)=

(1-6i)*(-2+2i)=
Click here to see answer by josmiceli(19441)

Question 67188: How do I solve (square root of 3 over 2+3i)2
the 2 outside the () is a square
thank you
Click here to see answer by ankor@dixie-net.com(22740)

Question 67434: Find the 4 roots of the equation:
x^4+kx^2+1=0
k^2<4
Click here to see answer by Nate(3500)

Question 67489: I bought two books for a total cost of $40. If the first book's price were raised 5% and the second's lowered 5%, the prices would be equal. What was the original price, in dollas, of the cheaper book?

Click here to see answer by stanbon(75887)

Question 67488: An isosceles right triangle is removed from each corner of a square piece of paper so that a rectangle remains. What is the lenght of a diagonal of the rectangle if the sum of the areas of the cut-off pieces is 200?
Click here to see answer by ankor@dixie-net.com(22740)

Question 67498: The forty-eight faces of eight unit cubes are painted white. What is the smallest number of these faces that can be repainted black so that it becomes impossible to arrange the cubes into a 2x2x2 cube, each of whose six faces is totally white?
Click here to see answer by 303795(602)

Question 67570: solve the system of equations:
4x-3y=8
2x+5y=-9
a.(-2,1)
b.(2,0)
c.(0,-83)
d.(1/2,-2)
Click here to see answer by checkley71(8403)

Question 67733: 2 + 3i/4 + i
I have tried the following:
(2+3i/4+i)*(4-i/4-i)
(8+10i-3i^2)/16-i^2
11-10i/5
I think I'm soo confused.

Click here to see answer by Earlsdon(6294)

Question 67733: 2 + 3i/4 + i
I have tried the following:
(2+3i/4+i)*(4-i/4-i)
(8+10i-3i^2)/16-i^2
11-10i/5
I think I'm soo confused.

Click here to see answer by ankor@dixie-net.com(22740)

Question 68071: Please help me solve this problem:
Siplify:

I know that i have to find a least common multiple but i don't know how to finish it.
Thank you very much!!!

Click here to see answer by adamchapman(301)

Question 68181: radical notation -10
Click here to see answer by checkley71(8403)

Question 68317: I do not understand how they got the answer for this problem.
3
The answer is
Please break it down for me.
Thank you for your time.

Click here to see answer by rmromero(383)

Question 68409: solve the equation x2=-16
Click here to see answer by checkley71(8403)

Question 68424: solve the equation x^2=-81
Click here to see answer by rmromero(383)

Question 68421: solve the equation x^2-7=4x^2+5
Click here to see answer by rmromero(383)

Question 68561: Please help me with these questions I have for my year nine homework.
1 Simplify the following by collecting the like terms.
-6-3x+4-x
2 Expand the following by removing the brackets
-6(5x-4)
3 Expand and simplify the following.
(x-6)(x+6)
4 Factorise the following using the highest common factor.
4q2+10q8
Click here to see answer by rmromero(383)

Question 68484: (5-2i)+(-7+5i)
Click here to see answer by funmath(2933)

Question 68496: A car rental company charges $50.00 per day plus $0.80 per mile for a full-size car, and charges $30.00 per day plus $0.50 per mile for a compact car. Write an expression in simplest form that gives the amount, in dollars, that the charges for a full-size car exceeds the charge for a compact car, when each is rented for x days and y miles.

Click here to see answer by Earlsdon(6294)

Question 68719: 3√4x-1=3
Click here to see answer by tutorcecilia(2152)

Question 69072: Solve (1 + i) / (1 - i)
Note how parentheses have been added to make the numerator (1+i) and the denominator (1-i) which is what I think you intended.
Click here to see answer by bucky(2189)

Question 69140: if x/2+y/5=1 sole for x
Click here to see answer by Nate(3500)

Question 69137: subtract and simplify 2/(x+1)=3/(x-3)
Click here to see answer by Nate(3500)

Question 69133: factor 3y(x-3)-2(x-3)
Click here to see answer by checkley75(3666)

Question 69132: factor 5xsquared-15x-20
Click here to see answer by checkley75(3666)

Question 69138: multiply and simplify (4xcubed/2y)(10ysquared/36x)
Click here to see answer by ankor@dixie-net.com(22740)

Question 68420: write the expression as a complex number in standard form (1+3i)(1-i)
Click here to see answer by Nate(3500)

Question 69277: Do you think you could do vector operations in polar coordinates?
Click here to see answer by stanbon(75887)

Question 69390: Marie is one-ninth as old as her mother. In three years,
she will be one-forth as old as her mother will be then.
Find their present ages.
Click here to see answer by Edwin McCravy(20054)

Question 69389: Marie is one-ninth as old as her mother. In three years, she will be one-fourth as old as her mother will be then. Find their present ages.
Click here to see answer by Edwin McCravy(20054)

Question 69516: Matthew and Matilda want to buy a set of DVD's from their favorite television show. Matthew has $47 less than the purchase price, and Matilda has $2 less than the purchase price. If they pool their money, they still do not have enough money to buy the DVD's. Assuming that the set costs an integral number of dollars, what is its price?
Click here to see answer by checkley75(3666)

Question 70009: i90i91+i92i93 note real numbers are exponents that add up to i to the 366 power
Click here to see answer by bucky(2189)

Question 70008: i90i91+i92i93 note real numbers are exponents that add up to i to the 366 power
Click here to see answer by venugopalramana(3286)

Question 70580: can you help me solve this: (0.2x^3y^2)^2
Click here to see answer by stanbon(75887)

Question 70573: can you please help me solve (-3ab)^3(2b^2)
Click here to see answer by checkley75(3666)

Question 70618: can you help me solve: [(-b^(-2))(c)]^0 / [8(a^(-1))(c^2)]

Click here to see answer by ankor@dixie-net.com(22740)

Question 70621: can you help me solve: [18(a^5)(b^5)(c^10)] / [15(a^5)(c^15)]
Click here to see answer by checkley75(3666)

Question 70901: Ok so I have a problem. The question is:
Find the values of x and y for which each equation is true.
3x-5yi = 15-20i
In this situation i= the imaginary number. A friend of mine suggested that I square both sides and try to solve for x. I did this but the answer I came up with was x = (5(i[square root]7 + y))/3. When I attempted to put this into the problem the answer for y was an equally huge answer that did not make any sense. If you could please help me promptly this would be sooo much help!!!
THANK YOU!!!
Algebra_2_4U
Click here to see answer by stanbon(75887)

Question 71510: My question is to solve the equation ------5 over 2 plus i
Click here to see answer by Earlsdon(6294)

Question 71508: My question is to solve the equation ------9 plus 3i over 2i
Click here to see answer by bucky(2189)

Question 71551: Write the expression as a complex number in standard form.
a) 8/1+i
b) -5-3i/4i
c) 2+5i/5+2i
Click here to see answer by venugopalramana(3286)

Question 71585: can you help me solve this: [18(a^5)(b^5)(c^10)] / [15(a^5)(c^15)]
thank you!!
Click here to see answer by checkley75(3666)

Question 71582: can you help me solve this: [(r^-4k^2)^2]/[(4k^2)^2]
Click here to see answer by stanbon(75887)

Question 71594: can you please help me solve this: [(a^5)(b^2)]^2 / [a^(-3)(b)]^2
Click here to see answer by stanbon(75887)

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