Questions on Algebra: Complex Numbers answered by real tutors!

Tutors Answer Your Questions about Complex Numbers (FREE)

Question 517383: How do you solve (3-2i)^2(3+2i)/(5-i)? The answer from the book is:
17/2 - 7/2 i
I don't know how they got this answer. Please help!
Click here to see answer by solver91311(16897)

Question 518014: Please help me with this problem:
(4i)/(3+i)
So far, I've got:
[(4i)/(3+i)] * (3-i) = (12i-4i^2)/(9-i^2)
I know that having i^2 = -1 but I was wondering if since it's already -4i^2 does that make it +4 or does it stay -4?
Thanks for your help. It is much appreciated.
Click here to see answer by MathLover1(6634)

Question 518211: solve the quadratic equation 4x*2+16x+17=0
x=(-16(+-)4i)/2
Click here to see answer by josmiceli(9693)

Question 518967: find the value of m and n that make the equation true.
(6-m)+3ni=-12+27i
Click here to see answer by stanbon(57377)

Question 519337: find the polar of square root of 3- square root of 3i
thank you,
Click here to see answer by Edwin McCravy(8909)

Question 519789: { { { x^-7x-8=0 } } }
Click here to see answer by oberobic(2304)

Question 519794: 4x^-16x+16=0
Click here to see answer by oberobic(2304)

Question 519793: Z^3=i
Click here to see answer by Alan3354(30993)

Question 519856: I need help with simplifying this problem i^23?
Click here to see answer by jim_thompson5910(28595)

Question 519977: The altitude of a triangle us 4.8 meters. Find the length of the base of the triangle if the area is 8.4 square meters
Click here to see answer by nerdybill(6962)

Question 519980: The altitude of a triangle us 4.8 meters. Find the length of the base of the triangle if the area is 8.4 square meters
Click here to see answer by nerdybill(6962)

Question 519980: The altitude of a triangle us 4.8 meters. Find the length of the base of the triangle if the area is 8.4 square meters
Click here to see answer by Maths68(1474)

Question 520018: The attendance at a moving picture theater on a certain day was 737 persons. If there were 289 more adults than children, how children were there?
Click here to see answer by Maths68(1474)

Question 520002: 1)consider the polynomial
p(x)=x^3+ax^2+bx-12
given that (x+3)and (x-4)are factors of p(x), factorise p(x)completely.
2)the polynomial p(x)=2x^3-ax^2=bx+48 has (x-4) as a repeated factor,find the values of a and b.
Click here to see answer by Edwin McCravy(8909)

Question 520308: Let x and y equal real numbers; (x+3yi)-(9-25i)=-5+4i
solve for x and y
Click here to see answer by solver91311(16897)

Question 520308: Let x and y equal real numbers; (x+3yi)-(9-25i)=-5+4i
solve for x and y
Click here to see answer by stanbon(57377)

Question 520586: how to solve x+3y=11,x+4y=14
Click here to see answer by Maths68(1474)

Question 520883: 2-3i/5-4i (solve)
Click here to see answer by solver91311(16897)

Question 521317: I need to factor (3/(5-11i)) But I can not figure it out
Click here to see answer by mananth(12270)

Question 521802: I'm working on Adv. Alegbra II homework. I've done all of the problums exept for "Solving each Equation" questions; There are three equations that i don't understand how to solve. They are the following:
(#1) -6x^2-30=0
(#2) 3x^2+18=0
(#3) 2/3x^2+30=0
If you could help ASAP that would be awesome. :)
Click here to see answer by umnikmo(75)

Question 522004: 9x^4-72x/3x^2-12 * x^2+x-2/4x^3+8x^2+16x

Click here to see answer by mananth(12270)

Question 522316: Simplify (5-i) - (3-2i)
Click here to see answer by geometryworm7271(30)

Question 522377: 1+Z+Z^2+Z^3...=1/Z-1
Click here to see answer by richard1234(5390)

Question 523015: find the value of | 40 + 9i |.
a 40 + 9i b 40 - 9i c -40 - 9i d -40 + 9i e not given
Click here to see answer by stanbon(57377)

Question 523049: (1+i)+(3+i)
Click here to see answer by Edwin McCravy(8909)

Question 523628: (8i)(3i)

Click here to see answer by Alan3354(30993)

Question 524821: c6-sqrt(-81)
these are the 2 problems im having trouble with
Click here to see answer by mananth(12270)

Question 525487: express in terms of i, what is the square root of -15
Click here to see answer by jim_thompson5910(28595)

Question 525652: 5-3i/6+2i
Click here to see answer by Maths68(1474)

Question 526154: (5 + 5i ) (7 + 6i )

Click here to see answer by stanbon(57377)

Question 526130: if x = y^2 and y = x^2, what is the least possible real value of x^2 + x + 1,
where x and y are complex numbers ?
Click here to see answer by richard1234(5390)

Question 526662: please help me urgently....
1)Find m and n if (x-2) and (x+3) are both factors of x^3+mx^2-nx-6
2) When p(x)=x^4-3x^3+ax^2+bx-6 is divided by (x+1)it has a remainder of 8. If (x-3) is a factor of p(x) find a and b.
3) If x^2-4 is a factor of 2x^3-ax^2+bx+4 find a and b.

Click here to see answer by KMST(1869)

Question 526946: Find the absolute value of the complex number.
|-10-5i| <---how do i do this?!
Click here to see answer by jim_thompson5910(28595)

Question 527144: simplify the square root of 125
Click here to see answer by jim_thompson5910(28595)

Question 527181: factor the trinomial by grouping : 15x^3+47x^2+28x
Click here to see answer by jim_thompson5910(28595)

Question 528100: Divide: 5 + 3i ------- 6 - 2i

Click here to see answer by Edwin McCravy(8909)

Question 528384: Please explain to me how to do these types of problems: i^55
Click here to see answer by Alan3354(30993)

Question 528651: 1/a - 1/b = 1/c
solve for b
Click here to see answer by Maths68(1474)

Question 529034: Multiply
2x-4 * x^2 - x - 1
Click here to see answer by stanbon(57377)

Question 529036: Could u please solve this:
Solve in the terms of i
√-51
Click here to see answer by stanbon(57377)

Question 529168: how do you do this: (7+5i)(7-5i)
Click here to see answer by jim_thompson5910(28595)

Question 529530: Write the expression as a complex number in standard form. (5-2i)(1-3i)
Click here to see answer by MathLover1(6634)

Question 529480:
Click here to see answer by ankor@dixie-net.com(15657)

Question 529655: Hello, at first we have the complex number z = -1 + i sqrt(3).
Secondly we have the fraction z/(1 + 2i).
If we substitute z in the numerator we get: {(-1 + i sqrt(3)}/(1+2i).
How do we calculate this fraction into the form a + bi, (a,b belong to R)?
Thanks a lot in advance
Click here to see answer by scott8148(6628)

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