Questions on Algebra: Complex Numbers answered by real tutors!

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Question 170747: I need some help with this problem.
i asked my friend to help me with a previous problem and he ended up just giving me the answer cause i still don't get it.
The one already answered ==
"":How i tried to work it out.
[]:my answer
1.
"2(x+6)(x-1)"
[x=6,(-1)]
Was that correct?
2.
?????
Please help me.

Click here to see answer by Mathtut(3670)

Question 170874: well i have to solve this equation: x^2-6x+25 and put it in a+bi form. can you please show me how to do this
Click here to see answer by jim_thompson5910(28715)

Question 170946: Hello, I am a the daughter of some missionaris to Mexico, and am teaching myself algebra. I am having a hard time understanding about Pure Imaginary Numbers. My text book is telling me that i^2=-1, i^3=-i, i^4=1, and so on. I don't understand how they are getting that because they aren't telling me. Could you please help me? I am sure it is pretty simple, but I can't figgure it out!
Click here to see answer by Mathtut(3670)

Question 171035: how can I solve this problem?
2i
______
1-i
Click here to see answer by gonzo(654)

Question 171057: Write the expression as a complex number in standard form.
(2+i)+(3+2i)
Click here to see answer by stanbon(57967)

Question 171057: Write the expression as a complex number in standard form.
(2+i)+(3+2i)
Click here to see answer by gonzo(654)

Question 171058: Write the expression as a complex number in standard form.

1-i
______
2+2i
Click here to see answer by stanbon(57967)

Question 171088: Write the expression as a complex number in standard form.
2i(4+i)
The answer I got was 8+6i.
Click here to see answer by Earlsdon(6294)

Question 171099: Write the expression as a complex number in standard form.
2i-(2+3i)+(1-8i)

When I solved it:
2i-1(3-5i)then
-3-10i
Click here to see answer by scott8148(6628)

Question 171398: Write the expression as a complex number in standard form.
-(3+i)(7-3i)
Click here to see answer by jim_thompson5910(28715)

Question 171398: Write the expression as a complex number in standard form.
-(3+i)(7-3i)
Click here to see answer by Mathtut(3670)

Question 171420: Using the properties of exponents,write the complex numberin standard form.
3+i^3
Click here to see answer by jim_thompson5910(28715)

Question 171415: Using the properties of exponents,write the complex number in standard form.

1+i16
Click here to see answer by stanbon(57967)

Question 171399: Write the expression as a complex number in standard form.

1+2i
____
√2+i
Click here to see answer by stanbon(57967)

Question 171432: (3to sq. root of 3 + sq. root of 15) squared
Click here to see answer by Alan3354(31522)

Question 171743: (a+bi)(a-bi)
Click here to see answer by stanbon(57967)

Question 172069: simplify
(3+3i)/(5+2i)
Click here to see answer by Alan3354(31522)

Question 172069: simplify
(3+3i)/(5+2i)
Click here to see answer by stanbon(57967)

Question 172054: find the additive inverse of each number: -4+6i.
find the absolute value of each complex number: 6i
solve each quadratic equation: -x^2+5x-2=0, x^2-8x+7=0
i know the first two are pretty simple, i'm just not sure exactly how to do them.
and the last two i am completely confused on them :(
Click here to see answer by solver91311(17077)

Question 172119: I need help finding the solution to this problem (solve for y):
Sqrt(y) + 4 = 2
I know you subtract the 4 from both sides, leaving:
Sqrt(y) = -2
and after that, I know it has something to do with the number "i" but I am lost!
Help please!
Click here to see answer by stanbon(57967)

Question 172426: Use the quadratic formula to solve the equation.
2(x-3)^2=-2x+9
Click here to see answer by jim_thompson5910(28715)

Question 172626: i'm dealing with symplifing imaginary nubers. how do you solve 7-6i/-3+4i? please show work.
Click here to see answer by rosstutoring_93(3)

Question 172644: -4(k-8)²=16
Click here to see answer by Alan3354(31522)

Question 172644: -4(k-8)²=16
Click here to see answer by jim_thompson5910(28715)

Question 172654: the area of the playground is 96 square yards. complete the square to find the value of x. the length of the playground is x+15 and the width is x+5.
Click here to see answer by nerdybill(7008)

Question 172666: 6i÷1-2i
Click here to see answer by stanbon(57967)

Question 172683: xsquared-7=14-2xsquared
Click here to see answer by Alan3354(31522)

Question 172672: write the expression as a complex number in standard form.
6i÷1-2i
Click here to see answer by Alan3354(31522)

Question 172679: Write the expression as a complex number in standard form
(7-4i)+(8+6i)
Click here to see answer by solver91311(17077)

Question 172686: i really need help with this. i thought to have an equation in vertex form and to find the vertex you had to have a y variable but in this equation there is no y. Please help me it will be much appreciated.

Write the quadratic function in vertex form. Then, identify the vertex.
x^2-8x+11=0
Click here to see answer by Mathtut(3670)

Question 173072:
(-3y²z³) ³

Click here to see answer by jim_thompson5910(28715)

Question 173147: Solve the equation by either factoring or taking square roots.

I'm a bit confused because there isn't a 'c' to factor, which is the style I prefer.
Click here to see answer by Alan3354(31522)

Question 173220: What is the complex conjugate of (7-8i)
Click here to see answer by user_dude2008(1861)

Question 173218: What does the product (4+7i)(2-5i) equal?

What does the quotient (1+4i)/(5-2i) equal?
Click here to see answer by jim_thompson5910(28715)

Question 173399: Factor the quadratic equation.

Like my last question, I don't understand how one can get the factors of -4 and then find the sum of -19 with those factors.
Click here to see answer by Mathtut(3670)

Question 173398: Factor the quadratic equation.
3x^2+13x-10
From what I know, one has to find the factors of -10, which are 2 and 5, and 10 and 1, including the negatives. After that, I think one has to find the sums that equal 13x, but I don't see how that would be possible.
Click here to see answer by Mathtut(3670)

Question 173987: Using the graph of f(x)=x^2 as a guide, describe the transformations, and then graph each function.
g(x)=-3(x-2)^2
This the one im havin problem with. hope you can help. i have to tell weather its compress or stretched verticly or horazonaly. Have a great day
Click here to see answer by solver91311(17077)

Question 174249: I have a complex fraction:

This fraction is the numerator: x/x+1
The denominator is: 1/x(exponent 2)-1 MINUS 1/x-1
Im pretty sure you have to find the LCD, but I don't know where to go from here.
Thank you for any help.
Click here to see answer by stanbon(57967)

Question 174661: I have two questions that I missed on a test. Will someone please help me.
1. The sum of a number and 17 more than twice the same number is 101. Find the number. I came up with 67.
2. Write an equation in slope-intercept form for the line that passes through (3,5) and (-2,1).
I must show my work to get credit for these two problems.
Thanks
Click here to see answer by Alan3354(31522)

Question 174674: Betty has 10 more dimes than quarters. If she has $3.45, how many quarters does she have and how many dimes does she have?
Click here to see answer by stanbon(57967)

Question 174680: how do you simplify 8/2+ the square root of 6?
Click here to see answer by Alan3354(31522)

Question 174682: how do you simplify the square root of 3 over the square root of 6?
Click here to see answer by Alan3354(31522)

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