Tutors Answer Your Questions about Complex Numbers (FREE)
Question 967731: How to solve that equation?
((1-ix)/(1+ix))^4 = i
My attempt solution:
x^4+4ix^3-6x^2-4ix+1 = i*(x^4-4ix^3-6x^2+4ix+1)
-ix^4+x^4+4ix^3-4x^3-6x^2+6ix^2+4x-4ix+... = 0
(1-i)(x^4 -4x^3 -6x^2 +4x + 1) = 0
(x^4 -4x^3 -6x^2 +4x + 1)=0
Can you suggest me a solution, please?
Click here to see answer by MathLover1(20849)   |
Question 968480: Please help,
The volume of water in a tank at a particular time (measured in seconds) is given by V (t) = 5t(2 − t) m3. Find the rate of change of the volume of water in the tank from first principles (using the definition of the rate of change).
Click here to see answer by Fombitz(32388)  |
Question 969612: Find all real and complex roots.
x^4-9x^2+20=0
-The solution set is { }.
(Use a comma to separate answers as needed. Type an exact answer, using radicals as needed. Type complex answers in the form a + bi.)
Click here to see answer by Boreal(15235)  |
Question 970003: Find the indicated power of the complex number; (2(cos(pi\3)+isin(pi\3))^5
The slashes are backwards because the slash key doesn't work on this laptop. I've solved the problem down the best I could, but I just couldn't get one of the answers. I got 32(0+i), and couldn't move any farther. It didn't match any of the multiple choice on my homework.
Click here to see answer by Fombitz(32388) |
Question 971000: 1. Show that 2 + (the square root) of 2i and 2-(the square root) of 2i satisfy the equation x^2 - 4x + 6 = 0.
2. Solve and check: (please be clear)
a) x^2 +4 = 0
b) x^2 +12 = 0
c) x^2 -2x + 2 = 0
Thank you.
Click here to see answer by Boreal(15235) |
Question 972110: Please help! Sorry it's more than one question
A ball is thrown straight up with an initial velocity of 40 m/s, so that its height (in meters) after t seconds is: h(t) = 2t(20 − t).
(a) Find an expression for the velocity of the ball at time t.
(b) What is the instantaneous velocity at t = 4? Is the ball rising or falling at this time?
(c) What is the maximum height achieved by the ball? Hint: the velocity of the ball will be zero when the ball is at its highest point.
(d) How fast will the ball be travelling when it hits the ground? Hint: first calculate time t when the ball hits the ground.
Click here to see answer by rothauserc(4718)  |
Question 973354: What is the conjugate of  ?
I understand what a conjugate is, and I understand that an imaginary number is the square root of a negative number but, I don't understand how you can cube an imaginary number.
Click here to see answer by macston(5194)  |
Question 973355: I have become stuck while brushing up on my algebra and unfortunately, I cannot contact any of my teachers because it is our summer break. Please help me, kindly tutors of algebra.com!
I know how to use the AC method, Perfect Square Trinomials, and how to plug in values into the General formula, but I don't know which method to use in solving this particular problem.
What are the factors of 
Another similar problem that I encountered is
Give the rational roots of the function 
Please show me a viable method that I can use to solve these types of problems.
Another is: Show the number of negative real zeroes of the function 
I broke the one question only rule because I have become quite desperate for some help, and I feel that the solutions to these three are quite related, somehow. Much thanks to the tutor that might help me! I will give a great review!
Click here to see answer by josgarithmetic(39613) |
Question 976067: limit x->2 3^x/{3^{3-x}-3^{1/2x}}+3^{3-x}/{3^{3-x}-3^{1/2x}}-12 /{3^{3-x}-3^{1/2x}}
This for the picture
http://www5a.wolframalpha.com/Calculate/MSP/MSP2757211df1gfi3a21815000033gb4835340ah06b?MSPStoreType=image/gif&s=12&w=315.&h=45.
And now my question is how to solve it ??
Click here to see answer by Edwin McCravy(20054)  |
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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
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