Questions on Algebra: Complex Numbers answered by real tutors!

Tutors Answer Your Questions about Complex Numbers (FREE)

Question 1106117: what is the quotient of 1/6 and 2/9?

Click here to see answer by ikleyn(52777)

Question 1106840: zz*+3(z-z*)=13+12i
Click here to see answer by rothauserc(4718)

Question 1106840: zz*+3(z-z*)=13+12i
Click here to see answer by Edwin McCravy(20054)

Question 1106877: I need help identifying numbers and why they are as such, such as:
Identify the number 6 as real, complex, pure imaginary, or nonreal complex.
Click here to see answer by josgarithmetic(39617)

Question 1106748: Show that the equation
z^8 + (1 + i)z^3 + 2z^2 = 10 + 24i
has no solution z ∈ C with |z| ≤ √2.
Carefully explain your reasoning.
Click here to see answer by ikleyn(52777)

Question 1108170: Solve each equation over the set of complex numbers, find the magnitudes of the solutions and draw them in the complex plane. Hint: For some of the equations, to get n roots you must use a^3+b^3=(a+b)(a^2−ab+b^2) and a^3−b^3=(a−b)(a^2+ab+b^2).'
x^3 - 1 = 0
x^6 - 1 = 0
Click here to see answer by Collinwilfixyouuprealnice(44)

Question 1108168: Find the value of k for which the function f(x)=4x(x+5)+k intersects the x-axis in one point.

Click here to see answer by Collinwilfixyouuprealnice(44)

Question 1108206: The quadratic function f is positive only on the intervals (negative infinity, 0) and (10, infinity). f has a minimum value of −100. Determine the coefficients of f.
Find the value of k for which the function f(x)=4x(x+5)+k intersects the x-axis in one point.

Click here to see answer by Collinwilfixyouuprealnice(44)

Question 1108284: The quadratic function f is positive only on the intervals (−∞, 0) and (10, ∞). f has a minimum value of −100. Determine the coefficients of f.

Click here to see answer by ikleyn(52777)

Question 1108396: Kindly help please. The total voltage of first circuit is (9 + 3i) volts. The total voltage of a second circuit is (5 - 2i) volts. We need to find the ratio of the total voltage of the first circuit to that of the second circuit. Does it mean, we're going to divide? After I divided the 2 voltages (I used the conjugate of the second voltage), I got (39 + 33i) / 29. Is that the ratio already? Or should it be like in the form "first circuit is to second circuit"? Thank you.
Click here to see answer by ikleyn(52777)

Question 1108570: An object is dropped from a balloon 3600 feet above the ground. Find the time it takes to reach
the ground if the height of the object is given by the equation h(t) = �16t^2+ 3600
Click here to see answer by Alan3354(69443)

Question 1108569: The length of a rectangle is three times as long as its width. Its area is 675 square feet.
a. Write an equation that demonstrates the given information.
b. Find the dimensions of the rectangle.
Click here to see answer by math_helper(2461)

Question 1108800: -39=3(x-3)-6x

Click here to see answer by josmiceli(19441)

Question 1108887: Find the x-intercepts.
F(x)= x^2-10
Click here to see answer by josgarithmetic(39617)

Question 1109371: (3x+4yi)(3+5i)=6+2i
Click here to see answer by math_helper(2461)

Question 1109617: simplify 5-6i/3i
Click here to see answer by Boreal(15235)

Question 1109874: -8 -3i divided by -1+4i
Simplify
Click here to see answer by MathLover1(20849)

Question 1109873: -1+5i divided by 5-5i
Simplify
Click here to see answer by MathLover1(20849)

Question 1109872: -8-3i divided by -1+4i
Simplify
Click here to see answer by stanbon(75887)

Question 1110025: use mathematical induction to prove that the following statement is true for every positive integer n
1+8+27+...+n^3=n^2(n+1)^2/4
Click here to see answer by ikleyn(52777)

Question 1110604: how to find all the values of (1-sqrt3i)^1/3
Click here to see answer by Alan3354(69443)

Question 1110604: how to find all the values of (1-sqrt3i)^1/3
Click here to see answer by greenestamps(13198)

Question 757422: (3+2i)+(9+i)how to perform operation
Click here to see answer by amalm06(224)

Question 1111131: Please help. How to write the number [4, 3pie/4] in exact standard form?
Thank you.
Click here to see answer by Alan3354(69443)

Question 1111140: -2i + (9 − 3i) − (6 − 10i) as a complex number in standard form
Click here to see answer by Alan3354(69443)

Question 1111140: -2i + (9 − 3i) − (6 − 10i) as a complex number in standard form
Click here to see answer by Theo(13342)

Question 1111140: -2i + (9 − 3i) − (6 − 10i) as a complex number in standard form
Click here to see answer by math_helper(2461)

Question 1111718: (x^2 - 5x -14)/(x^3 -6x^2-7x) (times) (x^2 -4x -5) (divided by) (x^2 +x -30)/(2x)
I do not know where to even start on the questions, and any help would be appreciated! thank you!
Click here to see answer by Alan3354(69443)

Question 1111719: ((4/x^2-9) + (2/x-3)) / ((1/x+3) + (1/x-3))
any help would be appreciated to simplify this problem! Thank you!
Click here to see answer by Alan3354(69443)

Question 1111716: 1/x + 1/xy =x
solve for y in terms of x if x (does not equal) 0, and y (does not equal) 0
I keep trying to factor it and come out with a strange answer every time, help would be much appreciated! Thank you!
Click here to see answer by Alan3354(69443)

Question 1111950: Square root of -80 in terms of i
Click here to see answer by ankor@dixie-net.com(22740)

Question 1112242: Show that for all real values of 'a' greater than 4,x Squared-2x+a=3 will have non-real roots
Click here to see answer by math_helper(2461)

Question 1112294: For what value(s) of K will the equation 3xsquared=k-2x have real roots
Click here to see answer by stanbon(75887)

Question 1112295: Show,without solving an equation that the roots of 2xsquared +(2k-1)x=K are Rational for all rational values of K
Click here to see answer by ikleyn(52777)

Question 1112639: -4+4i how would I solve this?
Click here to see answer by stanbon(75887)

Question 1112639: -4+4i how would I solve this?
Click here to see answer by ikleyn(52777)

Question 1112640: I have a problem I'm not sure I solved right
-4+1i/3i
What I did was (-4+1i/3i)(i/i) = -4+1/3 = -3/3 = -1
Is this correct?
Click here to see answer by stanbon(75887)

Question 1112640: I have a problem I'm not sure I solved right
-4+1i/3i
What I did was (-4+1i/3i)(i/i) = -4+1/3 = -3/3 = -1
Is this correct?
Click here to see answer by josgarithmetic(39617)

Question 1112642: Divide: 1-4i/5-6i. Write your answer in a+bi form
A=
B=
I'm really confused on the a+bi thing, as well as solving the fraction. I tried to cancel out the i's, but I think that's the opposite of what I'm supposed to do.
Click here to see answer by josgarithmetic(39617)

Question 1112643: Where do I even start this problem?
Find all zeros f(x)=9x^3-3x^2-2x-4. Enter the zero separated by commas. Enter exact value, not decimal approximations.
Enter complex zeros in the form a+bi,a-bi.
Click here to see answer by josgarithmetic(39617)

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