Questions on Algebra: Complex Numbers answered by real tutors!

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Question 475313: Sir,
my question is how to dissolve imaginary part in an equation completely.
the equation is of the form cos(theeta)+jsin(theeta) & j,the imaginary part should be completely taken out by simplifying & iam not finding the solution.Pls help me
Click here to see answer by richard1234(7193)

Question 475390: (√3+i)/(√3-i)
Click here to see answer by Alan3354(69443)

Question 475620: De Moiver' theorem
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Question 475799: Please help me solve this equation:
9x^2+16=0
Click here to see answer by ewatrrr(24785)

Question 475796: Please help me to solve
Subtract if possible.
The 4th root of 3 - the 3rd root of 4
Click here to see answer by Alan3354(69443)

Question 475802: Please help me to solve:
Simplify the radical expression. Use absolute value symbols if needed.
the square root of 36g^6
Click here to see answer by ewatrrr(24785)

Question 475800: Please help me to solve:
Simplify the square root of -175
Click here to see answer by ewatrrr(24785)

Question 475807: Please help me solve:
The square root of 90x^18 divided by the square root of 2x
Click here to see answer by ewatrrr(24785)

Question 475806: Please help me solve:
6= the square root of 24+12x
Click here to see answer by ewatrrr(24785)

Question 475812: Please help me solve:
multiply
(7- the square root of 2) (8+ the square root of 2)
Click here to see answer by stanbon(75887)

Question 475922: Solve
5/3-2/x-4=1/2
Click here to see answer by rfer(16322)

Question 475966: Solve
5/3 - 2/x-4 =1/2
Click here to see answer by stanbon(75887)

Question 476432: determine whether the lines are perpendicular
y=x+4, y=x-4
Click here to see answer by Tatiana_Stebko(1539)

Question 476601: xi^64-3i^108
------------ = 1+i^396
2i^160+i^148.y
FIND x and y.
Click here to see answer by stanbon(75887)

Question 476656: Aki's Bicycle Design has determined that when x hundred bicyles are built, the average cost per bicycle is given by C(x)=0.2x^2-0.8x+6.993, where C(x) is in hundreds of dollars. How many bicycles should the shop build to minimize the average cost per bicycle?
Click here to see answer by solver91311(24713)

Question 476768: Please help me solve:
Multiply the expressions. Simplify the result.
n^2-9 divided by n+3 times n divided by 2n-6
Click here to see answer by MathLover1(20850)

Question 476992: if MOD (Z-3)=3 THEN PROVE (Z-6)/Z=itan(argZ)
Click here to see answer by robertb(5830)

Question 477099: Hello. My problem is just . I believe the answer is -25, because I squared both terms and 5^2=25, and i^2=-1. So then you have 25/-1, which equals -25. Is this the correct way to approach the problem, and did I get this answer correct?
Click here to see answer by solver91311(24713)

Question 477116: Hello. My question is . This is a tough one for me, because i^2 is -1. Then you could multiply -1 17 times, which is still -1. Then, you have an i left over, and all of this is over 1 I think because you are raising a negative exponent. So 1/-i? However, my calculator says that it is 5E-13+i. Any help would be greatly appreciated.
Click here to see answer by Alan3354(69443)

Question 477114: Hello. My problem is . I put it in my calculator, and it said it was i, and I don't understand because my approach was to change it to . That would then be 1/-i, not i. Any help would be greatly appreciated
Click here to see answer by robertb(5830)

Question 477736: find the real factor of the following: x^n+1 (where n is an odd integer)
Click here to see answer by Edwin McCravy(20056)

Question 477966: help please. find the product of these complex numbers. if possible show the steps. thank you.
(3-2i)(2-5i)
Click here to see answer by Alan3354(69443)

Question 477969: please help
find the product of the given complex number and its conjugate
4-6i
Thank you!
Click here to see answer by Alan3354(69443)

Question 478214: 4k(k+10)=10
Click here to see answer by Tatiana_Stebko(1539)

Question 478346: Solve
5 over 3 minus 2 over x-4 equals 1 over 2
Click here to see answer by stanbon(75887)

Question 478652: Let x and y be integers. If (xy)/(x+y) = -1, what is the value of 2x + 3y + x/y to the nearest integer? choose the answer and explain the reason to choose your response
4
11
-9
Not enough information
Click here to see answer by ankor@dixie-net.com(22740)

Question 478983: The steering wheel is turned and held in place so that the car travels in a perfect circle in the counterclockwise direction. The car travels in a complete circle and stops. The front wheels are 2 m apart, and the area between the two circular tracks made by the two front wheels is 200 square metres. What is the area of the circle traced by the left front wheel in square metres? (Assume that pi=3.14)

choose the answer and explain the reason to choose your response
698.98
847.02
3083.88
2986.23

Click here to see answer by stanbon(75887)

Question 478982: Let x and y be integers such that x+y and y/x are both odd integers. Which is true about x and y?

choose the answer and explain the reason to choose your response
x is prime
The situation is impossible
y is odd
y>x

Click here to see answer by robertb(5830)

Question 479530: Simplify: (a^-2-b^-2)/(a^-1+b^-1)
Click here to see answer by Maths68(1474)

Question 479667: Write the Expression in the standard form a+bi
(6-8i)+(4+7i)
Click here to see answer by Alan3354(69443)

Question 479700: Simply this: {{sqrt(2) + sqrt(6)}/{sqrt(2 + sqrt(3)}}
I multiplied numerator and denominator by {sqrt(2 - sqrt(3)} and was pleased to see the denominator go away, but I was still left with a radical inside a radical. (I already know that the answer is 2, but how do I get there?)

Click here to see answer by stanbon(75887)

Question 479897: 3X^2 + 27=0

Click here to see answer by benni1013(206)

Question 480083: i^102

Click here to see answer by nerdybill(7384)

Question 480237: I need help solving this. x^2 + 18x-4=0
What does x equal?
Click here to see answer by Alan3354(69443)

Question 480720: Factor the trinomial. a^3 - 2a^2 - 35a
Click here to see answer by MathLover1(20850)

Question 481286: what is the square root of 4x^2+48x+144=400 how would I find that?
Click here to see answer by jorel1380(3719)

Question 481285: I was asked to find the square root of my equation which is 4x^2-8x+4=56. I know that I should move the 4 to the other side so my equation would then be 4x^2-8x=52, and I know that the square root of 4x^2 would be 2x and I know that the square root of 52 is 7.21, but what would be the square root of 8x? That is where I get lost.
Click here to see answer by jorel1380(3719)

Question 481301: Solve the equation in the complex number system:
65x^2 +1 =8x
I'm so lost on how to even begin this!
Click here to see answer by stanbon(75887)

Question 481210: Multiply. (c+g)(c^2 - cg+g^2)
Click here to see answer by jim_thompson5910(35256)

Question 481617: Nakim simplified 3 times the square root of 2x plus x times the square root of 8x minus 5 times the square root of 18x and got -10x times the square root of 2x for an answer.
Part 1: Using complete sentences, explain what Nakim did wrong.
Part 2: Show all your work to simplify the expression.
(You can use "sqrt()" to show a square root. For example, 7 times the square root of a can be written as 7sqrt(a). )
Click here to see answer by Theo(13342)

Question 481786: for all complex no. z1, z2 satisfying modz1=12 and mod(z2-3-4i),the minimum value of mod(z1-z2)is
Click here to see answer by richard1234(7193)

Question 482752: if sarah can type and spell check 6 pages of a manuscrpt in 22 minutee, how long wukk ut take her to type and spell check 27 pages?
Click here to see answer by josmiceli(19441)

Question 482564: how to find the square root of i
Click here to see answer by richard1234(7193)

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