Questions on Algebra: Complex Numbers answered by real tutors!

Tutors Answer Your Questions about Complex Numbers (FREE)

Question 559672: Subtract: (10 - 2i) - (4 - 3i)
Click here to see answer by Earlsdon(6287)

Question 559997: x^5-3x^4-8x^3-8x^2-9x-5=0
Click here to see answer by Edwin McCravy(8893)

Question 560058: Corrosion in the metal surface of an airplane can be difficult to detect visually. One test used to locate it involves passing an alternating current through a small area on the plane’s surface. If the current varies from one region to another, it may indicate that corrosion is occurring. The impedance Z (or opposition to the flow of electricity) of the metal is related to the voltage V and current I by the equation, where Z, V, and I are complex numbers.
Calculate Z for the given values of V and I.
V=10+20i I=3+7i
Click here to see answer by ankor@dixie-net.com(15645)

Question 560133: F(x) = 4x^3 - 5x 2x^(1/2). Determine the slope of the tangent when x = 4?
Click here to see answer by nyc_function(2733)

Question 560155: F(x) = 4x^3 - 5x + 2x^(1/2). Determine the slope of the tangent when x = 4?
Click here to see answer by Alan3354(30993)

Question 560141: x^4-2x^3-x^2-4x-6=0
Click here to see answer by Alan3354(30993)

Question 559906: Simplify (2-3i)-(5-6i)

Click here to see answer by jim_thompson5910(28536)

Question 559911: Solve for x. Simplify 4x^2 -5=-21
Click here to see answer by jim_thompson5910(28536)

Question 559909: Simplify (4+i) (5-2i)
Click here to see answer by jim_thompson5910(28536)

Question 561237: square root of -289
Click here to see answer by jim_thompson5910(28536)

Question 561791: evaluate the expression 4+10i/2i and write the result in the form a+bi
Click here to see answer by josmiceli(9664)

Question 563537: I have a few I am totally stuck on.
#1)2/x+3 - 2x+3/x-1 = 6x-5/x^2+2x-3
Okay so I know that the LCD here is going to be (x+3) and (x+1) but I can not figure out how to distribute it.
#2.)x^2-10/x^2-x-20 = 1 + 7/x-5
Here I have I think the LCD is (x-5) (x+4) but again am not being able to figure out how to distribute it properly.
#3)5y^(negative)2 +1=6y^(negative)1
No clue the negative exponents are really throwing me here....Thanks so much for your help
Click here to see answer by mananth(12270)

Question 564104: Joe has a collection of nickels and dimes that is worth $2.15. If the number of dimes was doubled and the number of nickels was increased by 28, the value of the coins would be $4.65. How many nickels and dimes does he have?
Click here to see answer by mananth(12270)

Question 564049: Explain how complex numbers combine under the following operations:
a. Addition
b. Division

The graphical interpretation should demonstrate how to add and divide complex numbers solely using the graph of each complex number (not based upon the algebraic computation).
*** I understand the concept of ;
The standard form of complex number is ;
(a + bi) + (a + bi)
(a + a) +(bi +bi)
2a + 2bi
Or … (3 + 2i) + (1+i)
(3+1) + (2i + i) = 4 + 3i

So WHAT IS THE GRAPHICAL INTERPRETATION; demonstrate how to add and divide complex numbers solely using the graph of each complex number
Click here to see answer by richard1234(5390)

Question 564100: Use the discriminant to determine whether the following equations have solutions that are: two different rational solutions; two different irrational solutions; exactly one rational solution; or two different imaginary solutions.
x2 = -4x – 4
Click here to see answer by richard1234(5390)

Question 564701: Rewrite √-64 as a complex number
Click here to see answer by richard1234(5390)

Question 564861: Using the method of partial fractions, determine an antiderivative for this function:
(x^2 + 1) / (x^3 - x^2 - 6x)
The answer is supposed to be: -1/6 ln x + 2/3 ln | x - 3 | + 1/2 ln | x + 2 | = C
How to do this? Thank you
Click here to see answer by Earlsdon(6287)

Question 564858: Use the method of integration by parts to determine the primitives for this function:
x^1/2 ln x
Help me
Click here to see answer by ad_alta(240)

Question 565116: Use Demoivre's Theorem to find the indicated power of the complex number
(2+2squareroot3i)^6
not even sure how to start this
help would be greatly appreciated
Click here to see answer by Edwin McCravy(8893)

Question 564982: I am trying to help a student at a residential treatment center. We are looking for the number and type of complex solutions and possible real solutions for the following:
2x^2+5x+3=0
4x^3-12x+9=0
2x^4+x^2-x+6=0
Click here to see answer by richard1234(5390)

Question 565385: Prove: Let F be a finite field of characteristic p. Then the Frobenius map [s(a)=a^p] is an automorphism.
Click here to see answer by ad_alta(240)

Question 565519: By a change of variables, determine the indefinite integral as follows:
integral (x^2 - 3x^4)^1/2 dx
The answer is supposed to be: (- (1 - 3x^2)^3/2) / 9
help me please
Click here to see answer by htmentor(789)

Question 565901: x+5=12 How do i solve this?
Click here to see answer by richard1234(5390)

Question 568548: What's 6(7-w)+5(3+2w), thankyou
Click here to see answer by jim_thompson5910(28536)

Question 568299: What is "x(squared)+6x+15=0" in a+bi form?
Click here to see answer by jim_thompson5910(28536)

Question 571255: Please Help Me Solve : Write A Quadratic Function In Standard Form Of (-1,0) , (0,-5) , (2,3)
Click here to see answer by scott8148(6628)

Question 571340: 7x - 3x = 80
Click here to see answer by nic0le116(25)

Question 571642: (3+2i)(3+2i)
Click here to see answer by Alan3354(30993)

Question 571651: I need help solving: z=6-4i

Click here to see answer by Alan3354(30993)

Question 571890: There is no section for calculus but I really need some help
find the second derivative of y=6x^5-5x^4+2 at the point where x=1
Click here to see answer by Alan3354(30993)

Question 572314: 8/ (3+6i) in a+bi form
Click here to see answer by stanbon(57282)

Question 572462: Consider the following complex fraction:
(2x^3/5y^3)/(x^3/y^2)
Simplify completely the complex algebraic expression shown above.
Click here to see answer by Maths68(1474)

Question 572316: Please help me solve this equation: { { { sqrt ( z ) = (2/3-2i) + 2 + 5i } } }
Click here to see answer by ankor@dixie-net.com(15645)

Question 573035: Sorry this is calculus but I really need some help I keep on getting different answers using the different examples ive got please help me
Evaluate the definite integral (the integral symbol with 2 at the top and 1 at the bottom)3x^2-2x dx
My answers have been 0,1.5,4 and 4.5
Click here to see answer by stanbon(57282)

Question 574171: i dont know how to simplify the following :
(10+15i)-(48-30i)
and
(6-4i)(6+4i)
and
(4+3i)(2-5i)
any help plz ?
Click here to see answer by stanbon(57282)

Question 574749: (x-7)/(square root x-1) + 3(x-1)^1/2=0
What does 'x' equal?
Click here to see answer by ad_alta(240)

Question 574959: this is calculus, I need some help using the simpson rule
Consider the integral (the integral symbol with pi/2 at the top and 0 at the bottom)cosx dx
i)Using 4 intervals appoximate the integral using the Simpson's rule
ii)Determine the actual value of the definite integral
Please help me
Click here to see answer by richard1234(5390)

Question 575177: solve the equation by factoring. show work
2x^2 = 7x+15
Click here to see answer by Alan3354(30993)

Question 575604: what is the square root of -144?

Click here to see answer by mananth(12270)

Question 576796: Solve -4(2+8i) in a+bi standard form
Click here to see answer by nerdybill(6951)

Question 577123: 7-9yi = 8x +12i
Click here to see answer by Alan3354(30993)

Question 577079: Preform the indicated operation using trigonometric form. Leave answer in trigonometric form
(-3-3i)(2+2i)
Click here to see answer by Edwin McCravy(8893)

Question 577227: what is zero point repeating 6 equals to as a percent
Click here to see answer by Alan3354(30993)

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