Questions on Algebra: Complex Numbers answered by real tutors!

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Tutors Answer Your Questions about Complex Numbers (FREE)


Question 236214: Hello,
I'm to find the third roots of 343i written in polar form with arguments in radians. I don't know how to approach this one. Is it actually "0 + 343i"? If so, I find the absolute value to be 343. Then tan (b/a) = tan (343/0) which is undefined. How do I find the angles?
Please help me as I'm lost...

Click here to see answer by Alan3354(5863) About Me 

Question 235915: Show a complete solution.
Big plane. A six-passenger plane cruises at 180 mph in
calm air. If the plane flies 7 miles with the wind in the
same amount of time as it flies 5 miles against the wind,
then what is the wind speed?

Click here to see answer by checkley77(6671) About Me 

Question 235955: 3 roots of 28x squared y cubed t to the 11

do you take out 2X'S, 3y's , and 3 t's first

Click here to see answer by stanbon(25959) About Me 

Question 235440: I am having problem with this problem complex simplifying fraction.
2x-4/xy^2/3x-6y/x^3y

Click here to see answer by ankor@dixie-net.com(6567) About Me 

Question 235867: how can you show that √3+i/2 is a cube root of i
Click here to see answer by josmiceli(2979) About Me 

Question 235444: This is a word problem, I am terrible with word problems.
After leaving Moose Jaw, Hanson drove
200 kilometers at x km/hr and then decreased his speed by
20 km/hr and drove 240 additional kilometers. Make a table
like the one in Exercise 87.Write a rational expression for
his total traveling time. Evaluate the expression for x = 100.ms.

Click here to see answer by josmiceli(2979) About Me 

Question 235195: I think that my problem falls under this topic. I am in Algebra 2 and I am stuck on this one problem. Solving Systems of Equations in Three Variables.
Here's the problem:
1.)2x-y+z=1
2.)x+2y-4z=3
3.)4x+3y-7z=-8
So here's what I tried to do:
First, I put equations 1 and 2 together and used the elimination method and I got -5y+9z=-5
so that would be the 4th equation
Then, I put equations 2 and 3 together and used elimination again and got -5y+9z=-20
which would be the 5th equation
I tried to put equations 4 and 5 together since they had like terms but it just didn't seem to work out well at all. Asking for your help and thanking you in advance, bthnydyson

Click here to see answer by ankor@dixie-net.com(6567) About Me 

Question 235247: what is the square root of 32 in simple radical form?
Click here to see answer by Alan3354(5863) About Me 

Question 235046: can someone please help show me how to sovle the following problem? i^37
Click here to see answer by Alan3354(5863) About Me 

Question 235003: 2x - 4x + 3 = 0
-3 + 4x - 2x = 0
in change

Click here to see answer by edjones(3194) About Me 

Question 234977: prove 2^6cos^4teta(angle)sin^3teta(angle)=-sin7teta(angle)-sin5teta(angle)+3sin3teta(angle)
3sinteta(angle).

Click here to see answer by Alan3354(5863) About Me 

Question 234733: solve and express the solution in simplest radical form
x^2-12x+25=0

Click here to see answer by checkley77(6671) About Me 

Question 234630: Rachel spent $16.18 for some cans of dog food cost in 79 cents each and some cans of cat food costing 69 cents each. She bought two more cans of cat food than of dog food. How many cans of each did she buy?
Click here to see answer by stanbon(25959) About Me 

Question 234513: How do you factor 2b^2+13b-7
so far i have (2b+ )(b- )

Click here to see answer by checkley77(6671) About Me 

Question 234401: 6√(-12)
is it 12i√3 or 6(2i√3)

Click here to see answer by stanbon(25959) About Me 

Question 234393: 6√(-12)
is it 12i√3 or 6(2i√3)

Click here to see answer by user_dude2008(690) About Me 

Question 233957: can u please help me solve this equation:
2ci+1=-d+6-ci

Click here to see answer by Alan3354(5863) About Me 

Question 233805: Divide.
30a^2b^3+45a^2b^2-20ab^2/5ab^2

Click here to see answer by checkley77(6671) About Me 

Question 233803: Simplify each complex fraction.(x-3/x-2)/(1-1/x-2)

Click here to see answer by stanbon(25959) About Me 

Question 233729: 1/m+1 -1
_________________________
1/m+1 +1

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Question 233658: (t-2)^2=-16 solve the equation
Click here to see answer by Alan3354(5863) About Me 

Question 233419: The expression(-1+i)^3 is equivalent to
(1) -3i
(2) -2-2i
(3) -1-i
(4) 2+2i
----------------------------------------------------------------------------------
please choose the correct answer choice and explain how to get the answer
Thank you

Click here to see answer by Alan3354(5863) About Me 

Question 233420: What is the reciprocal of 2+i?
Please solve and explain how to get the anwser

Click here to see answer by Alan3354(5863) About Me 

Question 233417: If a and b are real numbers, then the product of a+bi and a-bi is
(1) always imaginary
(2) always a real number
(3) sometimes,but not always, a real number
(4) sometimes,but not always, imaginary
----------------------------------------------------------------------------------
Please help choose the correct answer choice and please explain how to get the answer Thank you

Click here to see answer by stanbon(25959) About Me 

Question 233028: what is the solution to sqrt(48c^5d^8) please show work. thanks for the help!
Click here to see answer by edjones(3194) About Me 

Question 233025: What is the solution to i^16+i^20+i^22? and how do you do it? Thank You
Click here to see answer by stanbon(25959) About Me 

Question 232802: Find real numbers x and y such that 4-5i=2x+yi.
Click here to see answer by Alan3354(5863) About Me 

Question 232820: Which of the following expressions is equal to 0
(1)i^2+i+4
(2)i^2-i^4
(3)i^2*i^4
(4)i^4/i^2
--------------------------------------------------------------------------------
Please solve and explain how you got the answer
Thank you

Click here to see answer by Alan3354(5863) About Me 

Question 232819: For all a and b, the additive invers of the complex number a+bi is
(1) a-bi
(2)-a+bi
(3)-a-bi
(4)1/a+bi
--------------------------------------------------------------------------------
Please solve and explain how to reach the answer
Thank you

Click here to see answer by rapaljer(3526) About Me 

Question 232818: Which of the following statments are always true?
(1) The sum of two imaginary numbers is an imaginary number
(2) A real number is a complex number
(3) A complex number is an imaginary number
(4) The product of two imaginary numbers is a real number
--------------------------------------------------------------------------------Please answer the question and explain how to get the answer :) Thank you

Click here to see answer by Alan3354(5863) About Me 
Question 232818: Which of the following statments are always true?
(1) The sum of two imaginary numbers is an imaginary number
(2) A real number is a complex number
(3) A complex number is an imaginary number
(4) The product of two imaginary numbers is a real number
--------------------------------------------------------------------------------Please answer the question and explain how to get the answer :) Thank you

Click here to see answer by rapaljer(3526) About Me 

Question 232815: 1. If a and b are real numbers, then the product of a+bi and a-bi is
(1) Always imaginary
(2) Always a real number
(3) Somtimes, but not always, a real number
(4) Somtimes, but not alwaus, imaginary
--------------------------------------------------------------------------------
Please help me with this question and explain how you got the answer thank you

Click here to see answer by jsmallt9(511) About Me 
Question 232815: 1. If a and b are real numbers, then the product of a+bi and a-bi is
(1) Always imaginary
(2) Always a real number
(3) Somtimes, but not always, a real number
(4) Somtimes, but not alwaus, imaginary
--------------------------------------------------------------------------------
Please help me with this question and explain how you got the answer thank you

Click here to see answer by Alan3354(5863) About Me 
Question 232815: 1. If a and b are real numbers, then the product of a+bi and a-bi is
(1) Always imaginary
(2) Always a real number
(3) Somtimes, but not always, a real number
(4) Somtimes, but not alwaus, imaginary
--------------------------------------------------------------------------------
Please help me with this question and explain how you got the answer thank you

Click here to see answer by rapaljer(3526) About Me 

Question 231250: find a complex number, in a+bi form, such that radical i = a+bi.
Click here to see answer by stanbon(25959) About Me 

Question 231208: use synthetic division to perform 3xcubed plus 8xsquared plus 5x plus ten divided by x plus 2
Click here to see answer by jsmallt9(511) About Me 

Question 231160: (x^2/y) = ? if x=6 and y=2

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Question 231145: Evaluate: (4+3i)(5-5i)(-3+4i)
Show work. (No calculator!)
Thanks for help!

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Question 230827: simplify this :
1) (2y-5)(3y2-y+2)

Click here to see answer by Alan3354(5863) About Me 

Question 230805: find a complex number such that radical i = a+bi.
Click here to see answer by Alan3354(5863) About Me 

Question 230802: Mr. smith invested $24,000, part at 6% and the rest at 10%. if the interest earned was $2,000, find the amount invested at each rate.
Click here to see answer by checkley77(6671) About Me 

Question 230801: What complex number (a+bi) lets radical i equal to a+bi.
Click here to see answer by stanbon(25959) About Me 

Question 230237: Find a complex number a+bi such that radical i is equal to a+bi.
Click here to see answer by solver91311(4818) About Me 

Question 230171: (4-7i)(4+7i)
please solve and show work thank you

Click here to see answer by Alan3354(5863) About Me 

Question 230169: (6-sqrt(-9)-(-3-sqrt(-25)
sqrt is for the square root sign. How do you solve this equation please explain and show work

Click here to see answer by Alan3354(5863) About Me 

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