Questions on Algebra: Complex Numbers answered by real tutors!

Tutors Answer Your Questions about Complex Numbers (FREE)

Question 198541: what kind of numbers are involved in complex numbers?????
Click here to see answer by stanbon(75887)

Question 198564: Solve by substitution or elimination method:
4x � 5y = 14
-12x + 15y = -42

3x � 2y = 26
-7x + 3y = -49

-2x + 6y = 19
10x � 30y = -15

I had solved the equations, but solved them wrong. I am very confused. Please help me
Click here to see answer by solver91311(24713)

Question 199892: hi i have a really big final comming up and have lots of questions. first off,
i only somewhat understand complex numbers. here is the question:
{{the square root of -25 + 3}}
*Note : -25 + 3 is not all in the radical, only -25.
i do know how to solve this far:
the square root of -25= 5i + 3
*so how do you add this?
Click here to see answer by jim_thompson5910(35256)

Question 196185: Solve the equations by using the square root property. Express any complex numbers using i notation
(2x+5)^2=49
Click here to see answer by Earlsdon(6294)

Question 200019: Please help me solve this problem thanks!
3/x^2+8x+15/2/x+3 - 1/x+5
Click here to see answer by Alan3354(69443)

Question 200452: Jim can fill a pool carrying buckets of water in 30 minutes. Sue can do the same job in 45 minutes. Tony can do the same job in 1 � hours. How quickly can all three fill the pool together?

Click here to see answer by jim_thompson5910(35256)

Question 200451: If two planes leave the same airport at 1:00 PM, how many miles apart will they be at 3:00 PM if one travels directly north at 150 mph and the other travels directly west at 200 mph?

Click here to see answer by checkley77(12844)

Question 200449: Wich of the following expressions represents the product of 3 less than twice x and 2 more than the quantity 3 times x?
A. �6x2 + 25x + 6
B. 6x2 + 5x + 6
C. 6x2 � 5x + 6
D. 6x2 � 5x � 6
E. 6x2 � 13x � 6
Click here to see answer by edjones(8007)

Question 200450: hi can you help me finding the square root of i and the cubic root of -i? if posible could u draw the answers in a circle?
thanks for ur time
Click here to see answer by Edwin McCravy(20054)

Question 201163: find the radius of a circle:
x^2+y^2-12x+8y+43=0
Click here to see answer by Earlsdon(6294)

Question 201309: 6
_____________
a^-3a-54
+
10
______________
a^+5a-6

Hi we are talking about complex fractions. For some reason I cannot figure it out can you please help me!!! Above is a problem that was given to solve. Will you explain it please?
Thanks
Click here to see answer by nerdybill(7384)

Question 201568: How many different numbers are there in the set of the first 100 powers of i? Hint don't mulitply all of these out, see if you can find the pattern.
Click here to see answer by Alan3354(69443)

Question 201567: How many different numbers are there in the set of the first 10 powers of i?
Click here to see answer by Alan3354(69443)

Question 202104: Can anyone help with ANY of these? Please!

1.Complete each exercise leaving imaginary answer in i form.
3 squareroots of -24

2.Complete each exercise leaving imaginary answer in i form.
(3 - i) + (1 - 2i)

3.Complete each exercise leaving imaginary answer in i form.
(7 + 3i) - (2 +3i)

4.Complete each exercise leaving imaginary answer in i form.
The squareroot of -25 + the squareroot of -16 + the squareroot of -9
= ____

5.Complete each exercise leaving imaginary answer in i form.
(5 -i)(5 +i)

6.Complete each exercise leaving imaginary answer in i form.
(-3 - 5i)(-3 + 5i)

7.Complete each exercise leaving imaginary answer in i form.
5-6i^11

8.Complete each exercise leaving imaginary answer in i form.
10(4-3i)

9.Complete each exercise leaving imaginary answer in i form.
i^12 + 1

10.Complete each exercise leaving imaginary answer in i form.
(5-2i^2)^2

11.Complete each exercise leaving imaginary answer in i form.
6 / 2i

12.Complete each exercise leaving imaginary answer in i form.

(2 + the square root of -3) (2 - the squareroot of -3)
___________________________ ___________________________
(2) (2)
* It doesn't come out right when i submit it but, each equation is over 2.

13.Complete each exercise leaving imaginary answer in i form.

4 + i
________
3 - 2i

Click here to see answer by stanbon(75887)

Question 202130: Can anyone help me with ANY of these? Please...

1. Solve for the roots by factoring. Leave as an improper fraction.
2x^2 - x = 21 x = ___ and ___

2. Solve for the roots by completing the square.
3x^2 - 12x = 9 x = _______________

3. Solve for the roots by using the quadratic formula. (Leave as an improper fraction)
3x^2 + 11x - 4 = 0 x = ____ and _____

4. Solve for the roots by using the quadratic formula.
2(6-x) = x(x+5) x = ___________________

5. Use the given equation and associated roots to identify a, b, and c.
3x^2 + 11x - 4 = 0 and root1 = -4 , root2 = (1/3)
a= ____ b= ____ c= ____
Click here to see answer by solver91311(24713)

Question 202880: The sum of two complex numbers is 6 and their product is 10. One number is?
a. -3+i
b. -3-i
c. 3+i
d. -6+i
Click here to see answer by dyakobovitch(40)

Question 202835: The equation of a polynomial with real coefficients that has the roots 2 and 3(imaginary i) is?
a. x^3-2x^2+9x-18
b. x^3-2x^2-12x-18
c. x^3+2x^2-9x-18
d. x^3-2x^2+9x-20
Click here to see answer by jsmallt9(3758)

Question 203100: Imaginary numbers

x^2-2x+12,x=1-2i
Click here to see answer by jim_thompson5910(35256)

Question 203174: what is the value of the expression 2x to the second power + 3xy - 4y to the second power when x=2 and y= -4 please explain
Click here to see answer by rfer(16322)

Question 203271: i want the integral of dx/(2+sinx)
Click here to see answer by jsmallt9(3758)

Question 203257: Please walk me thru how answer is gotten. they say the answer is x-13/(x+3)(x-3). I am mainly interested in how to arrive at the numerator: (x-13)
Click here to see answer by jsmallt9(3758)

Question 203358: HI. This expression is suppose to wrote in a + bi form. I am having some trouble solving it. It's 5i^3/2(square root -4). Thank you very much.
Click here to see answer by ankor@dixie-net.com(22740)

Question 203663: I dont understand why its necessary to write a complex number in a+bi form.
Click here to see answer by Alan3354(69443)

Question 203781: (z-10)(z+10)=z^2-100
Click here to see answer by Alan3354(69443)

Question 203781: (z-10)(z+10)=z^2-100
Click here to see answer by stanbon(75887)

Question 203990: Could you help me to understand the complex numbers formulas and specially their signs?
Do I must commit all to memory or there are some correspondences between them? I compared some of mine with some of solved ones here but they were absolutly different with my formulas!!!
I have (a+bi).(c+di)=(ac-bd).(ad+bc)i [why both sides are multiplay and why we have minus in the other side?!]
and what's the other side of (a+bi).(c-di)=?
cause I have :

about the denominator I have (a+bi).(a-bi)=a^2 + b^2
but there is a solved example in this site against my lecture note's formula and its examples:
Question 202104: (5 -i)(5 +i)= 5^2 - i^2

Click here to see answer by ptaylor(2198)

Question 204916: Q.1. Find the fourth roots of -1.
Q.2. If 3/(2+cosx + isinx )=a+ib,then prove that a.a+b.b =4a-3.
Click here to see answer by stanbon(75887)

Question 205256: Given z=5+3i and w=7-4i find zw
Click here to see answer by solver91311(24713)

Question 205400: 3 + 3i divided by 3 - 4i
Click here to see answer by Alan3354(69443)

Question 205598: If we write the following complex number in standard form:
(sqrt7 + sqrt11 i)(sqrt7 - sqrt11 i) = a + bi
Then a = ? and b = ?
Click here to see answer by stanbon(75887)

Question 205743: find all solutions of the equation z^2 = -6 + 8i
Click here to see answer by stanbon(75887)

Question 205836: simplify the expression:
(3n+2)!/(3n-2)!
Click here to see answer by stanbon(75887)

Question 205835: Find all the values of the following (separate multiple answers with commas):
1. (-256)^1/4 = ?
2. 1^1/5 = ?
3. i^1/4

Click here to see answer by Alan3354(69443)

Question 205835: Find all the values of the following (separate multiple answers with commas):
1. (-256)^1/4 = ?
2. 1^1/5 = ?
3. i^1/4

Click here to see answer by stanbon(75887)

Question 206278: Find the slope of the line that passes through the points (6,5) and (6,-1)
Click here to see answer by Alan3354(69443)

Question 207197: I HAVE A FINAL EXAM COMING UP AND I STILL DON'T UNDERSTAND COMPLEX NUMBERS. THE DIRECTIONS ARE: PUT EACH NUMBER IN THE STANDARD COMPLEX FORM OF A+Bi.
THE PROBLEMS ARE:
1. 4-5 square root of -6
2. 3+ the square root of -7

Click here to see answer by Alan3354(69443)

Question 207349: The lenght
Click here to see answer by Alan3354(69443)

Question 207423: Hi there... i just have a few questions that i would like to ask regarding complex numbers.
1)
i would show you how much i can do on this one... however, im completely stuck sorry
and i was unable to find a proper square root sign, so hope that its alright.

2)
I REALLY strggle with De Moivre's theorem.
for this question i have to find the following:
a)
b)find when
c)write in polar form
d}find or using De Moivre's theorem.
SO those are all my questions, hope they are alright
Thanks
Christelle :D
Click here to see answer by Edwin McCravy(20054)

Question 207549: Expand: (2+3i)^2
Click here to see answer by jim_thompson5910(35256)

Question 207791: 2
_______
3-i
Click here to see answer by jim_thompson5910(35256)

Question 208391: How do I simplify (-5)cubed(-1/5)squared
Click here to see answer by rfer(16322)

Question 208350: It says to write each quotient in the form of a + bi
Don't know how
The problem is 3i/-2+i
Click here to see answer by Edwin McCravy(20054)

Question 208479: i need help with this problem (y-4)squared=2y
Click here to see answer by stanbon(75887)

Question 207869: Given: Neither a nor b equal zero.
Evaluate:
(a+bi)[(a/a^2+b^2)-(b/a^2+b^2)i]
Click here to see answer by stanbon(75887)

Question 208606: A technician experimentally determined the boiling point of octane to be 124.1 degrees celsius. The actual boiling point of octane is 125.7 degrees celsius. Calculate the error and the percent error.

thank you
Click here to see answer by rfer(16322)

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