Questions on Algebra: Complex Numbers answered by real tutors!

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Algebra: Complex Numbers

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Question 6351: MULTIPLY AND SIMPLIFY
5i(4i-6)

Click here to see answer by longjonsilver(2297)

Question 6352: MULTIPLY AND SIMPLIFY
(3+6i)(5-i)
Click here to see answer by longjonsilver(2297)

Question 6431: -5x+24=6-X
(the -5x+24 is in the radical)
Click here to see answer by prabhjyot(164)

Question 6598: Dear Sir/Madam,
I am confronted with the following problem:
"Solve for x. Find all solutions. x^3 + 2x^2 + 5x = 0"
I did the following:
1) x(x^2 + 2x + 5 = 0)
2) x = 0
3) x^2 + 2x + 5 = 0
4)
5) , which gives you a non-real answer.
So I assumed that the only answer is x = 0, however the answer is x = 0, -1+-2i. What is meant by 2i? Does i stand for imaginary number? And how do you get that answer?
Thanks in advance.
Regards,
-Mike
Click here to see answer by ichudov(404)

Question 6841: directions: Solve over the complex number system.
(i do not know what this means.)
2x^2-4x+5=0

thank you for taking the time to look at this
problem.
Click here to see answer by longjonsilver(2297)

Question 7115: What is the distance between points (-3,-2)and (3,6)?

Click here to see answer by Earlsdon(4898)

Question 7120: ( Evaluate each expression for the given values of the variables)
3(2c+d)-d; c=5 and d=1
3(2+5+1)-d

I dont understand the second step if i do what is in the parenthese first then distrubute or distrubute first? i just cant get past the second step.
Click here to see answer by glabow(165)

Question 7165: Please help me solve this problem:

Click here to see answer by prabhjyot(164)

Question 7312: Please help me solve this equation:
Click here to see answer by Earlsdon(4898)

Question 7319: 1/8-3/4x=1/16
Click here to see answer by bonster(299)

Question 7388: 3 3
-y=2-
8 4
Click here to see answer by bonster(299)

Question 7429: What is the answer to 20x+45=25x-10?
This is the only problem that I don't understand.
Thank You.
Click here to see answer by 2139(3)

Question 7670: Please help me solve ((( -2(f+3g)+5(6f-2g) )))
Click here to see answer by glabow(165)

Question 7705: find a polynomial fuction of the smallest possible degree that will satisfy the following conditions:
f(1)=f(3)=f(6)=0 ; f(4)=-12
ty
Click here to see answer by longjonsilver(2297)

Question 7695: I=prt
solve for t
Click here to see answer by prince_abubu(198)

Question 7763: Can you explain the functions of x better to me? Just started Class and I am not understanding it
Click here to see answer by prince_abubu(198)

Question 7853: What is 2-4i divided by 3+5i?
Click here to see answer by Earlsdon(4898)

Question 7962: /x-3/>5

Click here to see answer by Earlsdon(4898)

Question 7992: 4/3i
Click here to see answer by glabow(165)

Question 8036: Determine the nature roots of the following without solving the equation
1. x2 + 3x - 9 = 0
2. x2 - 35 = 2x
Click here to see answer by longjonsilver(2297)

Question 8008: what is the absolute value of 5+2i
Click here to see answer by ichudov(404)

Question 8114: how do i solve: a+(a-3)=(a+2)-(a+1)
i need a step by step answer

Click here to see answer by srinivas123(23)

Question 8167: x^12 - 1
Factor.
Click here to see answer by longjonsilver(2297)

Question 8167: x^12 - 1
Factor.
Click here to see answer by Earlsdon(4898)

Question 8200: Could someone please help me out with this one? I am suppose to evaluate this expression if a= -2, b = 5, c = -4, and d = 6
b^2 - 2bc+c^2 =
Here is what I have tried but it really looks wrong to me.
5^ - 2(5)(-4)+ -4^2 = and now I can't even figure out the answer to this. So I know there has to be a better way and I am hoping someone can show me.
Thanks

Click here to see answer by AnlytcPhil(958)

Question 8230: how do you simplify this expression?
(3x^2+2y^2+4x+8y)+(x^2-y^2)
Click here to see answer by glabow(165)

Question 8271: please help me solve this equation..... 16.5d-(d+3)=(d+2)+7
20.6(x+2)=4-(3-2x)=1 24.2(x+1)+15x=-(3x-17)+5x 28.8y-3(4-2y)=6(y+1)-2 32.-4(2x-5)+3x=x-28 36.-4(2x-5)+3x=x+x-28 40. 7-24-3x+8x=-(x+31)
Click here to see answer by bonster(299)

Question 8302: {{10}^{10}}^{10}}^{10}}^{10}}^{100}
Click here to see answer by bonster(299)

Question 8443: ax-b= cx-d; solve for x
Click here to see answer by drglass(89)

Question 8443: ax-b= cx-d; solve for x
Click here to see answer by bonster(299)

Question 8395: -48 divide by 6, (-6)(32), (14)(-5)(-3), -13+(-2)(17)
Click here to see answer by bonster(299)

Question 8845: a five-digit perfect square in the form of 5abc6 has a thousands digit a, hundreds digit b, and tens digit c. if a< b< c, what is the sum of a+b+c?
Click here to see answer by khwang(438)

Question 8843: a five-digit perfect square in the form of 5abc6 has a thousands digit a, hundreds digit b, and tens digit c. if a< b< c, what is the sum of a+b+c?
Click here to see answer by Abbey(339)

Question 8979: Hi
I am having trouble solving the following problem:
x^3-8=0
Can you provide some help in solving this - there are three answers one of which is 2 but I cannot figure out the other two imaginary ones.
Thanks
Lee
Click here to see answer by longjonsilver(2297)

Question 9278: g(x)=-x^2+x-5
Click here to see answer by rapaljer(3613)

Question 9667: what is -6 minus 3
Click here to see answer by thecampusnerd(13)

Question 9667: what is -6 minus 3
Click here to see answer by slksil001(7)

Question 9704: What is 5!
Click here to see answer by Earlsdon(4898)

Question 9704: What is 5!
Click here to see answer by slksil001(7)

Question 9831: I = p(1 + r) for r
Click here to see answer by prince_abubu(198)

Question 10086: Could you explain the steps of how to solve this? I understand negative cube root of the -27 is -3 and that I should factor sqrt -27 into sqrt 9 and sqrt 3, where do I go from here? Thank You
Please express in the form of "a + bi."
negative cube root -27 + sqrt -27
Click here to see answer by rapaljer(3613)

Question 10296: solve for all unknown variables:
RmTm=RrTr ... these are what they give you... Rm=8, Rr=2, Tr=5-Tm

Click here to see answer by rapaljer(3613)

Question 10324: (2+3i)^3

Click here to see answer by Earlsdon(4898)

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