Questions on Algebra: Complex Numbers answered by real tutors!

Algebra -> Algebra -> Complex Numbers Imaginary Numbers Solvers and Lesson -> Questions on Algebra: Complex Numbers answered by real tutors! Log On

Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

Algebra: Complex Numbers

Solvers

Lessons

Problems, free tutors

Quiz

In Depth

Tutors Answer Your Questions about Complex Numbers (FREE)

Question 183009: If the expression: 5t + 8/3t - 7 is to make sens the values that t can take must be restricted. State the restriction on t.
Please help I do not understand this question at all.
Click here to see answer by jim_thompson5910(13787)

Question 183248: z^2-10z-24
Click here to see answer by jim_thompson5910(13787)

Question 183249: 3x^2-4x-4
Click here to see answer by jim_thompson5910(13787)

Question 183246: 25v^2-9
Click here to see answer by jim_thompson5910(13787)

Question 183572: How do you solve a little tiny, micro, algebreic equation if it just happen to be 3X+34+3X+4-2X+5X-23-+34=1243
Click here to see answer by stanbon(26259)

Question 183637: I am horrible with absolute value and also imaginary numbers. Could you please help me with: What is the absolute value of 6-8i ?
Click here to see answer by jim_thompson5910(13787)

Question 183778This question is from textbook Algebra and Trigonometry Structure and Method

: (sqrt 18)/(2isqrt 6)This question is from textbook Algebra and Trigonometry Structure and Method

Click here to see answer by stanbon(26259)

Question 183789: Express the product of 4-3i and 2+i in simplest a+bi form.
Thank You!!!
Click here to see answer by jim_thompson5910(13787)

Question 184166: please help me solve the equation: also could you explain how to solve it
Click here to see answer by stanbon(26259)

Question 184325: (2+3i)(2-3i)
Click here to see answer by solver91311(5072)

Question 184324: Simplify
1/2-i
Click here to see answer by solver91311(5072)

Question 184323: Simplify
(6i)^2
Click here to see answer by jim_thompson5910(13787)

Question 184328: I have this problem for homework and I have utterly no idea how to go about this. My tutor (who assigned it in the first place) even told me to guess on the answers. Even still, I don't have a clue what it means. It's two parts:
a) Suppose that a+bi is multiplied by 1+i. By how many degrees must the arrow from (0,0) to (a,b) be rotated to coincide with the arrow from (0,0) to the product?
b) Suppose that a+bi is multiplied by √3+i. By how many degrees must the arrow from (0,0) to (a,b) be rotated to coincide with the arrow from (0,0) to the product?
To start, I thought the most rational thing to do was to multiply (for part a) a+bi by 1+i, and that gets me a+ai+bi-b. But I don't know what to do after that! I guess if I understood part a, I would be able to do part b, but I thought I should write the whole thing just in case.
Please help!
Click here to see answer by jim_thompson5910(13787)

Question 184912: (-1+i)2
Click here to see answer by checkley77(7035)

Question 185656This question is from textbook Algebra and Trigonometry Structure and method
: This question is from textbook Algebra and Trigonometry Structure and method

Click here to see answer by Alan3354(6059)

Question 186576: Perform the complex number operations and write the answer in the a+bi form.

2i + 3 - i / 2 + 5i

Click here to see answer by stanbon(26259)

Question 186575: Perform the complex number operations and write the answer in the a + bi form.

2i + (3 - i) / (2 + 5i)

Click here to see answer by ankor@dixie-net.com(6691)

Question 186670: how do you solve, step by step,: x(2+6i)+y(3+8i)=-6-14i?
Click here to see answer by jim_thompson5910(13787)

Question 186670: how do you solve, step by step,: x(2+6i)+y(3+8i)=-6-14i?
Click here to see answer by vleith(1977)

Question 186670: how do you solve, step by step,: x(2+6i)+y(3+8i)=-6-14i?
Click here to see answer by Edwin McCravy(2920)

Question 186676: how do you simplify 5√(-6)*4√(-10)
Click here to see answer by jim_thompson5910(13787)

Question 186676: how do you simplify 5√(-6)*4√(-10)
Click here to see answer by Alan3354(6059)

Question 186677: how do you solve 3x+8yi=15-32i
Click here to see answer by jim_thompson5910(13787)

Question 186847This question is from textbook Algebra 2
: (-6+2i)(7-i)(4+3i)This question is from textbook Algebra 2

Click here to see answer by jim_thompson5910(13787)

Question 187179: If z = icot(theata), show that (z+1)/(z-1)= cis(-2(theata))
Click here to see answer by kev82(145)

Question 187383: The sum of a number and its reciprocal is 10/3. Find the number.
Click here to see answer by Alan3354(6059)

Question 187381: Find all numbers with the property that when the number is added to itself the sum is the same as when the number is multiplied by itself.
Click here to see answer by Alan3354(6059)

Question 187384: Find the base (b) and height (h) of a triangle with an area of 2 square feet if its base is 3 feet longer than its height and the formula for area is A=1/2bh
Click here to see answer by jojo14344(1483)

Question 187478: how do you write the expression as a complex number?

(-4+2i) + (6+2i) ??

its algebra 2...
Click here to see answer by Alan3354(6059)

Question 187577: Please perform the operation of the following complex number. The answer should be in a + bi form: i(2+i)(3-2i)
I am an older student who has been out of highschool for 27 years. I tried the foil method of the 2 sets of parentheses, then applied the outer i, but my answer was incorrect. Thank you.
Click here to see answer by Alan3354(6059)

Question 187613: how do i simplify the properties of rational exponents?
Click here to see answer by user_dude2008(715)

Question 183494: Find the solutions to: x^2 + 8x=-16
Find the solutions to: x^2-16x= -64
Find the solutions to : x^2+8x+15=0 The sum of the solutions is:
Click here to see answer by Alan3354(6059)

Question 187866: i neeeeeeeeeeeeeeeeeeeeeeed help. Algebra 2. if you know it please call me any time 469-693-6329.
Click here to see answer by user_dude2008(715)

Question 188029: i neeeeeeeeeeeeeeeeeeeeeeed help. Algebra 2. if you know it please call me any time 469-693-6329.
Click here to see answer by Alan3354(6059)

Question 188241: Identify both intercepts as ordered pairs for the linear equation 5x-7y=35.
1] ANSWER: (0,-5),(0,7) This is what I came up with but not sure if I am correct? Thanks

Click here to see answer by solver91311(5072)

Question 188623: Is(-1/2)i the reciprocal of 2i? If not what is the reciprocal of 2i and what steps do I take to find it?
Click here to see answer by stanbon(26259)

Question 188632: Does + i = 0
If not what does it equal?
Click here to see answer by Mathtut(3670)

Question 188636: Does 2i times the square root of -4 equal -4?

I think 2i times the square root of -4 does equal -4, because the square root of -4 equals 2i and (2i)(2i) equals 4i^2. i^2 = -1 so (-1)(4)= -4.

So I am wondering if my solution of -4 correct?
Click here to see answer by ptaylor(1578)

Question 188637: True or False....
1 + 3/(2 − i) = 5 - i

Can you provide a detailed explanation of how you found the solution?
Click here to see answer by jim_thompson5910(13787)

Question 188659This question is from textbook saxon algebra 2
: Solve the equation. Write the solutions in the form a+bi.
x^2+10x+30=0
This question is from textbook saxon algebra 2

Click here to see answer by jim_thompson5910(13787)

Question 189013: True of false?
The number (1/2)i is the reciprocal of 2i.

Could you please provide a detailed explanation on how you achieved you answer, and show me how the product of 2i and its reciprocal equal 1.
Click here to see answer by jim_thompson5910(13787)

Question 189079: Please help me solve this equation:
Directions: tell whether the statement is always true, sometimes true, or never true. Explain your reasoning.
Problem:
The LCD of two rational expressions is the product of the denominators.
Thanks! =)
Click here to see answer by jim_thompson5910(13787)

Question 189055: 4x / x-1 - 2/x+1 - 4/x^2 - 1
Click here to see answer by kitty_tin(5)

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