Questions on Algebra: Complex Numbers answered by real tutors!

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Question 606827: Can someone verify that my answer for this problem is correct:
Solve over the set of complex numbers using the quadratic formula:

...and my answer was: -2 +/- 2i
Thanks!
Click here to see answer by solver91311(24713)

Question 606823: Hello again, internets!
Can someone please help me solve this problem? You need to factor it over the set of complex #s:
Click here to see answer by lwsshak3(11628)

Question 606818: Hey,
I'm pretty stumped on a problem on my homework, it would be great if you could help solve it for me!
Factor this over the set of complex numbers:
Thank ye!
Click here to see answer by scott8148(6628)

Question 606815: Hi!
I'm working on a review sheet for my Algebra II class, and I need help on a problem.
Solve completely over the set of complex numbers by factoring; show work:

Thanks!
Click here to see answer by scott8148(6628)

Question 606902: One last one for a while (I hope)!
Solve completely over the set of complex numbers by factoring:

Click here to see answer by Alan3354(69443)

Question 608490: Simplify the expression. 2x/7 + 5x/7
Click here to see answer by lynnlo(4176)

Question 608703: WHICH TYPE OF COMPLEX NUMBER IS -{4
Click here to see answer by Edwin McCravy(20054)

Question 608708: I need help solving this quadratic equation: 3(p-9)^2=81
Click here to see answer by Alan3354(69443)

Question 609022: how do you get the answer to (-3+2i)^2
Click here to see answer by flame8855(424)

Question 609022: how do you get the answer to (-3+2i)^2
Click here to see answer by lynnlo(4176)

Question 609032: The width of a rectangle is x inches. The length of that rectangle is 4 inches less than 3 times the width. If the perimeter is 40 inches, what is the length and width of this rectangle?
Click here to see answer by flame8855(424)

Question 609111: (4-6i)(7+8i)
Click here to see answer by flame8855(424)

Question 609329: i need help because my cst is tomorrow and i do not know how to do it
my problem is which expression is equivalent to the sum of the complex numbers (7x+3i) and (4x-2i)
Click here to see answer by Alan3354(69443)

Question 609553: i need help for the SAT

Click here to see answer by Alan3354(69443)

Question 609789: Will you please show me how to write (14+2i)+(1-4i)in a+-bi form?
Click here to see answer by jim_thompson5910(35256)

Question 609869: 18x^5-50xy^4

Click here to see answer by lynnlo(4176)

Question 610141: hi .....please I need to know how can I solve equations for complex numbers like this :
z^4+(5-14i)z^2-(24+10i)=0
Click here to see answer by Alan3354(69443)

Question 608577: please simplify: i^-10
Click here to see answer by radh(108)

Question 601596: definition of non real coordinate it is very important for me
Click here to see answer by radh(108)

Question 611141: Factor over complex numbers
4X^4-4X^3+5X^2-4X+1
Click here to see answer by stanbon(75887)

Question 612010: Simplify:

1. 5 / (2+ i)
Click here to see answer by solver91311(24713)

Question 612285: F(x)=2x^2+12x-3 Find the vertex
Click here to see answer by lynnlo(4176)

Question 612403: plot the number in a complex plane. -3-5i
Click here to see answer by stanbon(75887)

Question 612943: state the least degree a polynomial equation with real coefficients can have roots at x=5+i , x= 3-2i and double root x=0 .Explain
Click here to see answer by jim_thompson5910(35256)

Question 613334: What is a cubic polynomial function in standard form with zeros 4, 2, and 4?
Click here to see answer by ewatrrr(24785)

Question 613334: What is a cubic polynomial function in standard form with zeros 4, 2, and 4?
Click here to see answer by htmentor(1343)

Question 613334: What is a cubic polynomial function in standard form with zeros 4, 2, and 4?
Click here to see answer by solver91311(24713)

Question 613868: (3x)^2/3 = 16
I know the answer is x=64/3
Can someone please explain how they got the answer.
Thank you,
Trey
Click here to see answer by Alan3354(69443)

Question 614948: what is the equivalent form of 2i/4-i

Click here to see answer by stanbon(75887)

Question 614947: what is the equivalent form of 2i/4-i

Click here to see answer by stanbon(75887)

Question 615287: Solve by completing the square:10x=3x^2-1
Click here to see answer by stanbon(75887)

Question 615355: Can someone PLEASE help me with these problem? THANK YOU!
1) Divide: ((-7+6i)/(-4+4i)). Write your answer in a+bi form
2) Calculate (4+3i)^4. Give your answer in a+bi form
3) Calculate sqrt(1-2i). Give your answer in a+bi form. In polar form, use the angle 0<(theta)<2pi
4) Calculate sqrt(3-3i). Give your answer in a+bi form. In polar form, use the angle 0<(theta)<2pi
5) Calculate (^7)sqrt(-4-2i). Give your answer in a+bi form. In polar form, use the angle 0<(theta)<2pi
Click here to see answer by solver91311(24713)

Question 615356: Can someone PLEASE help me with this problem?! THANK YOU!
Find all the square roots of the complex number -3-2i.
Write the square roots in polar (re^(i(theta))) form, with the smaller angle first. Give your angles in degrees.
Root 1)=?
Root 2)=?
Write the square roots in a+bi form, with the smaller angle first.
Root 1)=?
Root 2)=?
Click here to see answer by Alan3354(69443)

Question 615746: What is the magnitude of the complex number 3+4i? Thank you!
Click here to see answer by Alan3354(69443)

Question 616169: How do you write (2 square root of 3) - 2i in polar notation? I keep getting 4(cos 150 + isin 150). However, the answer key in my book says it's 4(cos 330 + isin 330). Help.
Click here to see answer by stanbon(75887)

Question 616418: Find the product of the given complex number and its conjugate. Write the answer in the form a + b i.
1/3 -8i
Click here to see answer by Alan3354(69443)

Question 616993: write an equation for a circle with center (3,4) and radius 5?
Click here to see answer by Alan3354(69443)

Question 617121: Write the complex number in standard form.
8 + sqrt(-12)
Click here to see answer by richwmiller(17219)

Question 617122: Write the complex number in standard form
-2i + i
Click here to see answer by Edwin McCravy(20054)

Question 617125: (6-4i)^2
Click here to see answer by nerdybill(7384)

Question 617432: (8x)/((x-2)(x+2)) that whole thing minus 4/(x+2)
Click here to see answer by Edwin McCravy(20054)

Question 617526: Explain how complex numbers combine under the following operations:
a. Addition
b. Division
� Use one supporting example for each operation.
� Include both algebraic and graphical interpretations in your responses.
Note: The graphical interpretation should demonstrate how to add and divide complex numbers solely using the graph of each complex number (not based upon the algebraic computation).
This is what I have so far To accompany the addition, I have it graphed out showing the parallelogram and that the diagnol is the sum of the vectors
what can i do to show how the division works graphically
if this would be easier to demonstrate with other numbers, work from scratch, change the numbers
THANK YOU

When adding complex numbers, the real parts and the imaginary parts can not be combined. You can only add the real parts together, and the complex parts together, but they can not be added to each other. This means (5+2i)+(3+7i)= (8+9i). The 5 and 3 are combined, and the 2i and the 9i are combined.

When you divide, (6+3i)/(2-i),the first thing that you want to do is eliminate the complex number from the denominator. In order to do that, without changing the value of the fraction, you need to multiply by something that has a value of one, in this case the complex conjugate of the denominator or (2+i).
So, you�re going to do ((6+3i)/(2-i))*((2+i)/(2+i)). The numerator, after multiplying out using foil, becomes (12+6i+6i+3(i^2)), the denominator, after using foil becomes (4+2i-2i-i). After simplifying, your fraction becomes (12+12i+3(i^2))/(4-i).

Click here to see answer by lynnlo(4176)

Question 617745: How do you solve division problems of complex numbers:
-5 + 3i / -6 - 6i
My final exam is tomorrow and I am so confused on how to divide these and also on how to multiply:
7(2-6i)(1-7i)
Do you use the FOIL method or do you distribute?
Click here to see answer by solver91311(24713)

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