Questions on Algebra: Complex Numbers answered by real tutors!

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Question 160308: (10+i)^2 / 4-i
thanks for the help!
Click here to see answer by ankor@dixie-net.com(15649)

Question 160311: please help me!
1-i square root of 2 / 1 + i square root of 2
i know you have to multiply the top and bottom by the 1 - i square root 2 but I can't figure out how to solve it. thanks !
Click here to see answer by Alan3354(30993)

Question 160513: Please help me solve the equation: (2 + 2i) and ( 2 - 2i)
I have no idea have to solve this.
Click here to see answer by Fombitz(13828)

Question 160310: 2-i / 3-4i ,2-i/3-4i*3+4i/3+4i, 6+8i_3i_4i^2/15 ,10+5i/15 ,5(2+i)/5(3), 2/3 + 1/3i

Click here to see answer by himakamel(1)

Question 161316: perform the indicated operation and write the result in standard form: (-2+5i)squared
Click here to see answer by stanbon(57323)

Question 161326: can i have the correct answers on this problems as soon as possible plz.. tnx
1+2 over x divided by 7 over x
a over b divided by a- 5a over b
x-5 over x divided by 2-1 over x
x over 2- 2 over x divided by 1- 2 over x
5 over n+1 - 1 over 2 divided by n+3
Click here to see answer by Edwin McCravy(8908)

Question 161797: simplify a complex fraction please. Thanks
1/9+1/3x / x/9-1/x
Click here to see answer by ankor@dixie-net.com(15649)

Question 162014: This is from a worksheet.
simplify
2+i/1-3i
please help
Thank you
Click here to see answer by jim_thompson5910(28593)

Question 162134: how do i solve this problem
Click here to see answer by elima(1433)

Question 162424: f 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?
A. 50 miles
B. 100 miles
C. 500 miles
D. 700 miles
E. 1,000 miles
I know the answer is C; but, how do I get to the answer
Click here to see answer by stanbon(57323)

Question 162465: This is from a worksheet. I think I have the right answer, but am not sure.
FIND THE VALUE OF THE DISCRIMINANT FOR 9X^2+1=6X. tHEN DESCRIBE THE NUMBER AND TYPE OF ROOTS FOR THE EQUATION.
First i changed it to 9x^2-6x+1=0
a=9 b=-6 c=1
b^2-4ac=(-6)^2-4*(9)*(1)
=36-36
=0
One rational root.
Did i do this right?
Thanks
Yes you are correct, there will be one rational root with multiplicity 2 (I am not sure if you have learned about multiplicity yet)
Click here to see answer by eperette(173)

Question 162611: (2+3i)^2 could you please explain step by step
please help soon!
Click here to see answer by ankor@dixie-net.com(15649)

Question 162617: i^17
the only thing I know about this is that all things like this such as i^30 or i ^2 or i^7 all come up to one thing but I'm not sure what it is
please help soon!

Click here to see answer by Earlsdon(6287)

Question 162612: 1 divided by 2+3i
could you please explain step by step
please help soon!
Click here to see answer by Earlsdon(6287)

Question 162616: 4(3+2i)-5(1-i)
please help soon and explain step by step.
Click here to see answer by stanbon(57323)

Question 162613: sqrt of 3 + i divided by sqrt - i
please explain step by step
please help soon!
Click here to see answer by stanbon(57323)

Question 162610: sqrt of (-50) minus sqrt of (-8)
could you please explain step by step
Click here to see answer by stanbon(57323)

Question 162566: Classify the 15 given polynomials as monomials, binomials, trinomials, and polynomials. Use the format given below for categorizing the polynomials.
a.
b.
c.
d.
e.
f.
g.
h.
i.
j.
k.
l.
m.
n.
o.
Click here to see answer by Edwin McCravy(8908)

Question 162683: sqrt of (-50) minus sqrt of (-8)
please explain step by step
please help soon
Click here to see answer by Earlsdon(6287)

Question 162523: Write the expression as a complex number in standard form:
six minus i square roots of 2 divided by six plus i square roots of 2
Click here to see answer by ankor@dixie-net.com(15649)

Question 162781: 3x+x-4+0
Click here to see answer by jim_thompson5910(28593)

Question 162989: express the product of 4-3i and its conjugate in simplest terms

Click here to see answer by jim_thompson5910(28593)

Question 163225: I'm a sophomore currently studying for the SAT. I was wondering first, are complex numbers on the SAT? Also, does "i" always equal the square root of 1? Or is "i" considered a variable? Thank You.
Click here to see answer by checkley77(12569)

Question 163391: Simplfy the radical
√176/25
Click here to see answer by checkley77(12569)

Question 163390: Simplfy the radical?
√8/3
Click here to see answer by checkley77(12569)

Question 163388: Simplfy the radical?
√500
Click here to see answer by checkley77(12569)

Question 163386: What is the simplest form of the expression?
√12 * √18
Click here to see answer by checkley77(12569)

Question 163385: What is the simplest form of the expression?
√162
Click here to see answer by checkley77(12569)

Question 163380: √162
Click here to see answer by checkley77(12569)

Question 163521: if a=23, b=x², c=x, d=14, and 2b-3c+d=a, what is the value of x?
Click here to see answer by KnightOwlTutor(293)

Question 163548: 12x2 + 20X + 3
______________
6x2 -5x -1
Click here to see answer by checkley77(12569)

Question 163596: Factor the quadratic expression
3x²-108
Click here to see answer by nerdybill(6958)

Question 163595: Solve the quadratic equation
7x²-3=11
Click here to see answer by checkley77(12569)

Question 163594: Solve the quadratic equation
6x²-2x-2=4x²+x
Click here to see answer by checkley77(12569)

Question 163592: Solve the quadratic equation
3(x-9)²=81
Click here to see answer by checkley77(12569)

Question 163597: What does the quotient equal
3+i/2-3i
Click here to see answer by mathispowerful(115)

Question 163639: Please help me with this question:
Write a slope-intercept equation for a line with slope 4 which passes through the point (1,7)
Thank you.
Click here to see answer by checkley77(12569)

Question 163640: Please help me with this question:
Write a slope-intercept equation for a line with slope 4 which passes through the point (1,7)
Thank you.
Click here to see answer by scott8148(6628)

Question 163546: Hi !
I have a couple of questions that I am stuck on!
First:
Express sin(x^2+1) in terms of sin(x^2) and cos(x^2)
second:
Express tan(x+2) in terms of tan(x).
One other question I have, if you are given coordinates is it possible to work out the equation of a straight line from the coordinates?
e.g. my question is:
Find the equation of a straight line which passes through the points (-1, -5) and 3,3)
Really appreciate any help i can get! Thanks!!
Click here to see answer by Fombitz(13828)

Question 163808: Write in standard form 3-sqrt(-27)
Click here to see answer by midwood_trail(310)

Question 163924: How do you solve the following problem? I hope I am writing it correctly.
x^2-y^2 over 2x all over x+y over x^2

Click here to see answer by stanbon(57323)

Question 163381: √12 * √18
Click here to see answer by orca(409)

Question 164030: Foul Ball
Suppose Charlie O'Brien of the braves hits a baseball straight upward at 150 ft/second from a height of 5 feet.
Use this formula to determine how long it takes the ball to return to earth.
-16t^2 +50 +5 =0
Please show work.
I came up with 9.4 seconds can you please show me what you come up with and how?
Click here to see answer by Earlsdon(6287)

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