Questions on Algebra: Complex Numbers answered by real tutors!

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Tutors Answer Your Questions about Complex numbers (FREE)


Question 194764: How do you simplify 8 and 9 sixths?
Click here to see answer by jamesdressler.com(1) About Me 

Question 194824: Find the product of the complex numbers.

Part 1: Use the FOIL method to find the product.
Part 2: Add any like terms from part 1 together and write your answer in the form a+bi. Show your work.

Click here to see answer by Mathtut(3670) About Me 
Question 194824: Find the product of the complex numbers.

Part 1: Use the FOIL method to find the product.
Part 2: Add any like terms from part 1 together and write your answer in the form a+bi. Show your work.

Click here to see answer by tutorcecilia(2042) About Me 

Question 194823: Find the difference of the complex numbers.

Part 1: Rewrite the expression so that you are subtracting the two real numbers and the two imaginary numbers.
Part 2: Subtract the two real numbers and then subtract the two imaginary numbers. Write your answer in the form a+bi. Show your work.

Click here to see answer by checkley77(7172) About Me 

Question 194849: (6+5i)-(8-i)=
Click here to see answer by Mathtut(3670) About Me 

Question 194826: Find the quotient of the complex numbers.

Part 1: Write the quotient as a fraction.
Part 2: What is the conjugate of the denominator of the fraction?
Part 3: MultipPly the numerator and denominator by the conjugate of the denominator in order to rationalize the fraction. Use FOIL process to multiply the numerators and then to multiply the denominators. Combine like terms when possible. Show your work.
Part 4: Factor the GCF in the numerator and reduce the final answer. Leave your answer as a fraction in lowest terms. Show your work.

Click here to see answer by ankor@dixie-net.com(6707) About Me 

Question 194929: could you please explain how to solve this problem?
simplify...
i to the 100th power

Click here to see answer by Mathtut(3670) About Me 

Question 194943: please explain how to simplify...

i to the 100th power

Click here to see answer by jim_thompson5910(13811) About Me 

Question 195104: Simplify quotient and write answer in a + bi form.
6 + 2i divided by 4-3i

Click here to see answer by jim_thompson5910(13811) About Me 

Question 195088: Please help me with this problem.
Find the real numberx x and y
23+yi=17-x+3i

Click here to see answer by RAY100(1637) About Me 

Question 195121: simplify the expression,
( 1/2 - 3(cube root)/ 2 *i)3( to the third power.)

so the question says... one half minus to the cube root of three over 2 multiplied by "i". all to the third power.

Click here to see answer by jim_thompson5910(13811) About Me 

Question 195325: can you please help me solve this problem the square root of 3x-7/2=4

Click here to see answer by Alan3354(6153) About Me 

Question 195358: What is the answer to 4i - (-6 - i)?
Click here to see answer by Mathtut(3670) About Me 

Question 195529: I'm trying to solve the following problem, but get stuck half way through it, can you please help me?
16 + 4i divided by 16 - 4i
I've been trying the following, I tried multiply both the numerator and denominator by the conjugate of the denominator and this is as far as I get before getting stuck (16+4i) (16+4i) using the foil method I get 256 +64i+64i+16i^2. When I do the same for the denominator (16-4i)(16+4i) using the foil method I get 272. I combine the numerator and get the following 240+128i and then this is where I'm stuck I don't know what to do after this 240+128i/272. Can you please help me?

Click here to see answer by jim_thompson5910(13811) About Me 
Question 195529: I'm trying to solve the following problem, but get stuck half way through it, can you please help me?
16 + 4i divided by 16 - 4i
I've been trying the following, I tried multiply both the numerator and denominator by the conjugate of the denominator and this is as far as I get before getting stuck (16+4i) (16+4i) using the foil method I get 256 +64i+64i+16i^2. When I do the same for the denominator (16-4i)(16+4i) using the foil method I get 272. I combine the numerator and get the following 240+128i and then this is where I'm stuck I don't know what to do after this 240+128i/272. Can you please help me?

Click here to see answer by Earlsdon(4900) About Me 

Question 195738: Divide: (6 + 3i)/6 – 3i)
Click here to see answer by jim_thompson5910(13811) About Me 

Question 195737: Multiply: (1/6 – i)^2
Click here to see answer by jim_thompson5910(13811) About Me 

Question 195743: Solve by factoring: (x^2/4) – 3 – 5x = – 3
Click here to see answer by user_dude2008(716) About Me 

Question 196189: Solve the equation by using the square root property. Express any complex numbers using notation.

(2x+5)^2=49

Click here to see answer by RAY100(1637) About Me 

Question 197213: If f(x)= 3x^2 -27/ 18x + 30 and g(x) = x^2 -7x +12/ 3x^2 -7x -20 , find f(x) divided by g(x) for all values of x for which the expression is defined and express your answer in simplest form. Help is appreciated! Thank you!
Solution:
f(x)=------(1)
g(x) = ------(2)
f(x)/g(x)==> f(x)*(1/g(x))
==>
==>
==>
==>
==>
==>
==>
==>
So the simplest form is


Click here to see answer by stanbon(26367) About Me 
Question 197213: If f(x)= 3x^2 -27/ 18x + 30 and g(x) = x^2 -7x +12/ 3x^2 -7x -20 , find f(x) divided by g(x) for all values of x for which the expression is defined and express your answer in simplest form. Help is appreciated! Thank you!
Solution:
f(x)=------(1)
g(x) = ------(2)
f(x)/g(x)==> f(x)*(1/g(x))
==>
==>
==>
==>
==>
==>
==>
==>
So the simplest form is


Click here to see answer by mathsteacher(28) About Me 

Question 197295: I have a correction. Simplify
(16)^1/4 + 6

Click here to see answer by jim_thompson5910(13811) About Me 

Question 197291: How would I simplify this three problems. Please help me I have no idea how to even start. Any help would be greatly appreicated.

(3)^1/2 + 2i

(16)1/4 + 6

3 - (-9)^1/2

Thank you!

Click here to see answer by jim_thompson5910(13811) About Me 

Question 197352: x^4-4x^3-4x^2+16x-32=0
this problem is really stumping me

Click here to see answer by solver91311(5106) About Me 

Question 197327: Find two real numbers that have a sum of 8 and a product of 2.
Click here to see answer by ankor@dixie-net.com(6707) About Me 

Question 197497: respected sir & madum,
1] In a weight ;ifting competition,the total weight of Joe's tow lifts was 750 pounds.If twice the weight of his first lift was 300 pounds more than the weight of his second lift,what was the weight ,in pounds,of his first lift ?
plz solve my difficulty as soon as poosible...
thank u.
regards,
Binita.

Click here to see answer by Alan3354(6153) About Me 

Question 197763: I cannot get this answer right. my teacher has provided the answer and we have to do the figuring. I keep coming up with a different answer than provided; therefore, my figuring is wrong. The problem is:
1/x-1/x-1=6.
The answer provided is{-2,3} How is this answer figured, I keep getting a fraction for an answer. Please help

Click here to see answer by RAY100(1637) About Me 

Question 197813: i = what
i^2= what
i^3= what
i^4= what

Click here to see answer by stanbon(26367) About Me 

Question 198082: 3+i / 2+3i
Click here to see answer by jim_thompson5910(13811) About Me 

Question 198255: respected sir,
1] AB + CD = AAA, where AB and CD are two-digit numbers and AAA is a three digit number; A, B, C, and D are distinct positive integers. In the addition problem above, what is the value of C?

plz help me..
regards,
binita

Click here to see answer by vleith(1983) About Me 

Question 197764: Find the exact solution(s) to each problem. If the solution(s) are irrational, then also find approximate solution(s) to the nearest tenth.
Time in the air. A ball is tossed into the air from a height of 12 feet at 16 ft/sec. How long does it take to reach the earth?

Click here to see answer by arallie(162) About Me 

Question 198541: what kind of numbers are involved in complex numbers?????
Click here to see answer by stanbon(26367) About Me 

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(5106) About Me 

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(13811) About Me 

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(4900) About Me 

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(6153) About Me 

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 ½ hours. How quickly can all three fill the pool together?

Click here to see answer by jim_thompson5910(13811) About Me 

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(7172) About Me 

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(3330) About Me 

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(2938) About Me 

Question 201163: find the radius of a circle:
x^2+y^2-12x+8y+43=0

Click here to see answer by Earlsdon(4900) About Me 

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(2453) About Me 

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(6153) About Me 

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(6153) About Me 

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(26367) About Me 

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