Questions on Algebra: Complex Numbers answered by real tutors!

Tutors Answer Your Questions about Complex Numbers (FREE)

Question 98663: Differentiate with respect to θ
f(θ) = sin(5θ � 2)
Click here to see answer by stanbon(75887)

Question 98665: Differentiate with respect to theta
f(θ) = 7sin^2(1 - 5θ)
Click here to see answer by Edwin McCravy(20054)

Question 98770: how would I solve"
1/2x+2
x=2
Click here to see answer by elima(1433)

Question 99082: Obtain derivative of f(t) = In(5 – 2/3t)
Click here to see answer by Adam(64)

Question 99092: How can I answer this question? Please help me.
3: True or False? Explain your answer.
2 - √-6 = 2 - 6i

Click here to see answer by stanbon(75887)

Question 99092: How can I answer this question? Please help me.
3: True or False? Explain your answer.
2 - √-6 = 2 - 6i

Click here to see answer by Adam(64)

Question 99744: Hello, I have a few problems on complex numbers that I don't understand how to solve them. Could you please help me on these problems? Thank you very much.
problem 1: 3/sqrt2-5i (i is for imaginary number)
problem 2: divide (1+i) by (2-i). Write the result in standard form. (i is for imaginary number)
problem 3: perform the operation and write the result in standard form: (5-sqrt4)^2

Thank you again,
Kumi
Click here to see answer by stanbon(75887)

Question 99855: Hello I was wondering if you could help me on this problem?
Simplify. (i is for imaginary number.)
(3-6i)/(-4i)
Thank you,
Kumi
Click here to see answer by stanbon(75887)

Question 100060: given the following two complex numbers, a=3+7i and b=-2-2i,calculate the following
a+b
a-b
a*b
a/b
Click here to see answer by edjones(8007)

Question 100060: given the following two complex numbers, a=3+7i and b=-2-2i,calculate the following
a+b
a-b
a*b
a/b
Click here to see answer by timmy1729(23)

Question 100681: -2(x^2 - 3)^-3(2x)(x + 1)^3 - 3(x + 1)^2(x^2 - 3)^-2
______________________________________________________
[(x + 1)^3]^2
how do i simplify this expression?
so far, i got:

(x^2 - 3)^-3[(x^2 - 3)^1 - 2(2x)(x + 1)^2]
___________________________________________
[(x + 1)^3]^2

(x^2 - 3)^-3[(x^2 - 3) - 4x]
______________________________
(x + 1)^3

Click here to see answer by stanbon(75887)

Question 100897: The problem is .2 (x-5)=x+5. What I did below I'm not sure if it's correct.
.2(x-5)=x +5
.2x-1=x+5
.2x=x+6
x=6
Click here to see answer by diamonddarby2(3)

Question 100973: Please help me solve.
i+i2+i3+i4+i5= ?
Click here to see answer by edjones(8007)

Question 100898: 2/5 (x-2)=X+4
I got 2x/5-4/5=x+4 and I'm not sure what to do next because of the fractions

Click here to see answer by scott8148(6628)

Question 100898: 2/5 (x-2)=X+4
I got 2x/5-4/5=x+4 and I'm not sure what to do next because of the fractions

Click here to see answer by edjones(8007)

Question 100895: 1/3(s-2)=s +4
I first distribute, and I got s/3-2/3=s +4
I added 2/3 and ended up with s/3= 14/3 is this right or am I missing a step?
Click here to see answer by scott8148(6628)

Question 101302: what is the solution to this problem
2x^2-(square root 7)x-10=0
Click here to see answer by stanbon(75887)

Question 101376: If abc=1, which of the following could be the number of intergers among a, b, and c?
a.1
b.2
c.3
Click here to see answer by jazmin933(1)

Question 102360: Hello,
I have a problem with this text book that it gives me the answer as being 6. But I have worked it out many times in varying ways and I still keep getting the same answer as 9.797958971.
Would you please be able to tell me which answer is correct and why.
Thank you so very much.
Cheers
D
The following has been my preferred methodology. Thanks.
sgrt8^2+6^2-(8-6)^2
sqrt8^2+6^2-2^2
sqrt64+36-4
sqrt96
=9.797958971
Click here to see answer by edjones(8007)

Question 102468: find all real solutions of the equation:
1 over x cubed plus 4 over x squared plus 4 over x equals zero
I didn't understand what all of the signs meant so i wrote out all of the words
Click here to see answer by Fombitz(32388)

Question 102691: the modulus or absolute value of a complex numbers:

if z2=4+3i and z2=-2+3i what is /z1/ and /z2/?

Click here to see answer by stanbon(75887)

Question 103333: The first of two films lasted 3 minutes less than twice as long as the second. together the two films lasted 132 minuates. Howlong was the first film.
Click here to see answer by HyperBrain(694)

Question 104395: The diameter of a slmall pizza is 16 centemeters. This is 2 centemeters more that two fifths of the diameter of a large pizza. Find the diameter of the large pizza.
Click here to see answer by Ashley234(3)

Question 87342: What is the product of two binominals and support the answer by identifying the factoring of polynomials.
Click here to see answer by Ashley234(3)

Question 104440: 1) Is the following function linear? Can you evaluate the function for the given value of x.
f(x)=1 - x^2 ; f(0)
2)Can you help me write an equation of the line that passes through the given point and satisfies the given condition for the foolowing two problems:
a)(1,3) ; parallele to y=2x-1
b) (3,2) ; perpendicular to y= -3x
3)What is the property that the statement 4(2 + 3)=4(2) + 4(3) illustrates?
Click here to see answer by stanbon(75887)

Question 105402: x-5(x+2)=x+3(3-2x)
Click here to see answer by checkley75(3666)

Question 105787: negative square root negative one over three

Click here to see answer by tutorcecilia(2152)

Question 105802: express in the form x+jy where x and y are real numbers:
(5+j3)(3-j)-(3+j)
Click here to see answer by Fombitz(32388)

Question 106279: Find a number that is 38 less than its opposite
Click here to see answer by stanbon(75887)

Question 106279: Find a number that is 38 less than its opposite
Click here to see answer by Earlsdon(6294)

Question 106285: The greater of two comsecutive even integers is 20 more than twice the smaller. Find the integers.
Click here to see answer by MathLover1(20849)

Question 106283: The length of a rectangle is twice the width. The perimeter is 84 cm more than the width. Make a diagram and find the rectangle's dimensions.
Click here to see answer by elima(1433)

Question 92641: I'm not sure if I picked the right topic. I'm supposed to solve by completing the square:
y^2-6y-8=0
Click here to see answer by elima(1433)

Question 106781: Is there a way or maybe an equation to tell what an imaginary number is going to be?

For example: i to the 14th power would be...
Click here to see answer by scott8148(6628)

Question 106935: whta is a complex number?
Click here to see answer by Fombitz(32388)

Question 106939: Find a number that is 68 greater than three times its opposite
Click here to see answer by cheesey(22)

Question 106942: The greater of two consecutive even integers is 20 more than twice the smaller. Find the integers.
Click here to see answer by checkley75(3666)

Question 106942: The greater of two consecutive even integers is 20 more than twice the smaller. Find the integers.
Click here to see answer by cheesey(22)

Question 106941: Four times a number, increased by 25, is 13 less than six times the number. Find the number
Click here to see answer by checkley75(3666)

Question 106949: Dionne has six steel balls of equal mass. If she puts five of them in one pan of a beam balance and one ball and a 100 g mass in the other pan, the pans balance each other. What is the mass of each ball?
Click here to see answer by checkley75(3666)

Question 107655: (x-2)�=-16
Click here to see answer by jim_thompson5910(35256)

Question 107653: 2x�+26=-10
Click here to see answer by Fombitz(32388)

Question 107724: What does 3i^33-2i^27 equal and how do you find the answer?
Click here to see answer by stanbon(75887)

Question 107652: 2x�+26=-10
Click here to see answer by checkley71(8403)

Question 107650: 3-5x�=-9

Click here to see answer by edjones(8007)

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