Questions on Algebra: Complex Numbers answered by real tutors!

Tutors Answer Your Questions about Complex Numbers (FREE)

Question 549677: What is the proof of the quadratic formula?
I have only been able to subract c and divide the equation by a?

Click here to see answer by Edwin McCravy(8878)

Question 550125: The equation x^3 +3xy + y^3 = 1 is solved in integers. Find the possible values of
x - y
Click here to see answer by Alan3354(30924)

Question 550675:
Click here to see answer by user_dude2008(1861)

Question 550679: Simplify
2i + 5
______

3i - 4
to the form ai + b.

Express z = -2 -5i in polar form.

Express z = 3 + 5i in exponential form.

Use De Moivre's Theorem to express cos4 0 as powers of cos0.
Click here to see answer by Alan3354(30924)

Question 550920: solve system by substitution
-5x-y=-11
-6x+y=-22
Click here to see answer by icefreezer7(1)

Question 551246: which of the following sets of numbers includes only prime numbers
47, 91
43, 79
57, 97
51, 73
3.5x10-2

Click here to see answer by richard1234(5390)

Question 551243: i need help with -3x(4-7)
Click here to see answer by MsRedz123(24)

Question 550956: here is my query...
Let a(x); b(x) and c(x) be polynomials with complex coeffcients such that
gcd(a(x); b(x); c(x)) = 1
(i.e. no polynomial of degree >= 1 divides all the three) and deg(a).deg(b).deg(c) =0
0. Prove that,
a(x)
^n + b(x)
^n != c(x)
^n
for all n >= 3

(!= => "not equal to")
Click here to see answer by richard1234(5390)

Question 551395: express your answer in simplest a+bi form:
x^2 + 8x + 25 =0
Click here to see answer by Earlsdon(6287)

Question 551340: what is the multiplicative inverse of 4+5i/1+i
Click here to see answer by Theo(3458)

Question 551480: x(to the 4th power)-6x(squared)-27=0. whats the answer?
Click here to see answer by josmiceli(9645)

Question 551480: x(to the 4th power)-6x(squared)-27=0. whats the answer?
Click here to see answer by KMST(1852)

Question 551692: can you PLEASE!!! help me solve (5-6i)(1-i) thankyou :)
Click here to see answer by jim_thompson5910(28476)

Question 552603: i(2+7i)(2-7i) write in standard form

Click here to see answer by AnlytcPhil(1276)

Question 552755: Simplify: (5i)(-4i)-8(-1+8i)
Click here to see answer by jim_thompson5910(28476)

Question 552758: Simplify: -4(-6+3i)-7(-7+5i)
Click here to see answer by jim_thompson5910(28476)

Question 552710: g(x)=2x^2-5 g(3)
Do you square the 3 and then multiply by 2?

Click here to see answer by jim_thompson5910(28476)

Question 552761: Simplify: (-7i)-(4i)-(5-6i)
Click here to see answer by jim_thompson5910(28476)

Question 552545: Express in terms of i. -sqrt-50
Click here to see answer by jim_thompson5910(28476)

Question 553408: The Question is:
Given a Quadratic equation with rational coefficients with a root of 6+5i
a) What is another root to this equation?
b) What are the factors of the equation?
c) What is the quadratic equation with the given root?
d) What is the representative function?
I know this is long but i tried and my teacher took up my references to grade them, and I don't remember any of the rules. I think answer a is 6-5i. Can you please help? This is a very important grade and I have no room for mistakes. Thank You for any help :)
Click here to see answer by jim_thompson5910(28476)

Question 553467: Simplify
4- squareroot3/
2-squareroot3
rationalize the denominator
Click here to see answer by mathstutor494(95)

Question 553871: what is the value of b if (4+ or - i) are complex roots of 2x squared+bx+15=0
Click here to see answer by prateekagrawal(56)

Question 554024: express the following in the form x+iy
3+2i/2-3i
Click here to see answer by Alan3354(30924)

Question 554032: (2+i)(1+2i)/3+4i
express in the form of x+iy
Click here to see answer by Alan3354(30924)

Question 554019: 21-20i find square root of complex no.
Click here to see answer by Alan3354(30924)

Question 554247: Find the maximum value of the function: -4(x-3)(x+2)
Click here to see answer by stanbon(57203)

Question 554423: how to solve:
Rationalize
5/1 + i
Click here to see answer by KMST(1852)

Question 554570: Square root of -3

Click here to see answer by jim_thompson5910(28476)

Question 554326: how would i solve equations over complex numbers? for example, x^2-2x+2=0
Click here to see answer by jim_thompson5910(28476)

Question 554697: (6+2i) + (5-i)
Click here to see answer by jim_thompson5910(28476)

Question 554791: (4+3i)(2-5i)
Click here to see answer by jim_thompson5910(28476)

Question 554885: Please help me solve this equation : √(-3/16)
Thanks
Click here to see answer by ankor@dixie-net.com(15622)

Question 555117: I need the derivative of : y = radical((x)^2) + 1 * radical((x)^2) - 1
The answer is supposed to be y' = 2(x^3)((x^4-1)^-1/2)
I want to know how to do this. Help me please.
Click here to see answer by Alan3354(30924)

Question 555114: I need the derivative of : y = e^x - e^-x
The answer is supposed to be y' = e^x + e^-x
Help me please.
Click here to see answer by Alan3354(30924)

Question 555646: Determine the derivative of :
y = (2x + 3) / (3x + 4)
Thank you

Click here to see answer by Alan3354(30924)

Question 555648: I need the derivative of : y = sqrt(x^2) + 1 * sqrt(x^2) - 1
The answer is supposed to be y' = 2(x^3)((x^4-1)^-1/2)
Help me please.
Click here to see answer by Alan3354(30924)

Question 555641: Determine the derivative of :
f(x)= log x^2
Thank you
I want to know the method please
Click here to see answer by Alan3354(30924)

Question 555866: -9i(10i+3)
Click here to see answer by jim_thompson5910(28476)

Question 555995: what is (3 + 2i) squared?
Click here to see answer by josmiceli(9645)

Question 556306: (6+3i)-(10+4i)
Click here to see answer by jim_thompson5910(28476)

Question 556549: solve quadratic equation by completing the square
-x^2-2x=5

Click here to see answer by mathstutor494(95)

Question 556663: Why does (4xcubed)0= 1?
Click here to see answer by richard1234(5390)

Question 557863: two airports, one in california and one in new york, are 3000 miles apart. a plane leaving california is traveling to new york at 200 miles per hour. another leaving new york is traveling to california at 250 miles per hour. when will the two planes pass each other?
Click here to see answer by Alan3354(30924)

Question 558417: What are the factors of rx-rsy?
Click here to see answer by Alan3354(30924)

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