Tutors Answer Your Questions about Complex Numbers (FREE)
Question 133113: I think I'm doing this right, but I want to make sure. The instructions are: Simplify the complex fraction and reduce each answer to lowest terms.
ab+b^2
----------
4ab^5
----------- =
a+b
-----------
6a^2b^4
b(a+b)
-----------
4a(b)(b^4)
------------=
a+b
------------
6a^2(b^4)
4a
-----------
6a^2
Click here to see answer by stanbon(57377)  |
Question 133465: Here's another question from my teacher.
Solve this equation by the means of your choice: p^2 + 100 = 0
My initial thought is that P would = -10, but that would would work out as:
-10^2+100=200. Somehow I have to get the equation to work out as -100+100=0, but I just can't figure it out.
Click here to see answer by solver91311(16897)  |
Question 133464: Here's a question from my teacher.
Solve this equation by the means of your choice: (5m – 1)^2 = 25
I started out by moving the 25 to the left side---- (5m)^2-25=0
From there I get 25m-24=0, but I get stuck after that????
Click here to see answer by solver91311(16897) |
Question 133463: Suppose 1/(2x – 4) + 1/(x – 2) = 3/2. What is x?
This is a question from my teacher. I think I'm supposed to add the first two equations, then cross multiply that answer by 3/2 to get the answer, but I'ts just not coming together for me.
Click here to see answer by vleith(2825) |
Question 133463: Suppose 1/(2x – 4) + 1/(x – 2) = 3/2. What is x?
This is a question from my teacher. I think I'm supposed to add the first two equations, then cross multiply that answer by 3/2 to get the answer, but I'ts just not coming together for me.
Click here to see answer by checkley71(8403) |
Question 133463: Suppose 1/(2x – 4) + 1/(x – 2) = 3/2. What is x?
This is a question from my teacher. I think I'm supposed to add the first two equations, then cross multiply that answer by 3/2 to get the answer, but I'ts just not coming together for me.
Click here to see answer by josmiceli(9697)  |
Question 134721: The Fundamental Theorem of Algebra
Use the given zero to find the remaining zeros of each polynomial function.
P(x)=x^4-6x^3+71x^2-146x+530; 2+7i
x intercepts = 2+7i & 2-7i
x=2-7i
=x-2+7i=0=(x-(2-7i))=0
(x-(2-7i))(x-(2+7i))=
x^2-x(2+7i)-x(2-7i)+(2+7i)(2-7i)=
x^2-2x-7xi-2x+7xi+53=
x^2-4x+53=
x^4-6x^3+71x^2-146x+530/x^2-4x+53=
x^2-2x+10=
(x^2-4x+53)(x^2-2x+10)
Now I'm stuck. Could really use some help
Thanks so much
Click here to see answer by jim_thompson5910(28598) |
Question 134721: The Fundamental Theorem of Algebra
Use the given zero to find the remaining zeros of each polynomial function.
P(x)=x^4-6x^3+71x^2-146x+530; 2+7i
x intercepts = 2+7i & 2-7i
x=2-7i
=x-2+7i=0=(x-(2-7i))=0
(x-(2-7i))(x-(2+7i))=
x^2-x(2+7i)-x(2-7i)+(2+7i)(2-7i)=
x^2-2x-7xi-2x+7xi+53=
x^2-4x+53=
x^4-6x^3+71x^2-146x+530/x^2-4x+53=
x^2-2x+10=
(x^2-4x+53)(x^2-2x+10)
Now I'm stuck. Could really use some help
Thanks so much
Click here to see answer by vleith(2825) |
Question 134721: The Fundamental Theorem of Algebra
Use the given zero to find the remaining zeros of each polynomial function.
P(x)=x^4-6x^3+71x^2-146x+530; 2+7i
x intercepts = 2+7i & 2-7i
x=2-7i
=x-2+7i=0=(x-(2-7i))=0
(x-(2-7i))(x-(2+7i))=
x^2-x(2+7i)-x(2-7i)+(2+7i)(2-7i)=
x^2-2x-7xi-2x+7xi+53=
x^2-4x+53=
x^4-6x^3+71x^2-146x+530/x^2-4x+53=
x^2-2x+10=
(x^2-4x+53)(x^2-2x+10)
Now I'm stuck. Could really use some help
Thanks so much
Click here to see answer by solver91311(16897) |
Question 134843: The question is:
Use the quadratic formula to solve for the roots
9x²-6x-7=0
my steps:
6±√6²-4(9)(-7) over 18 = 6±√36+252 over 18 = 6±√288 over 18 ; √288 = 144 * 2 so,
6±12√2 over 18 = For my final answer I left it as : 1/3±12√2 over 18 Is that correct ?
do I need to simplify the 12 and the 8 ? I'm having doubts because the 12 is part of the radical and the 8 is by itself... (if I did anything wrong in my steps please notify me
thank you
Click here to see answer by vleith(2825) |
Question 135335: Please help me solve the following questions.
Question1.
If (x-k) is a factor of the polynomial f(x) = 4x3 – (3k + 2)x2 – (k2 - 1)x + 3, where k is a constant, find the possible values of k.
Question2.
A polynomial p(x) is of the form p(x) = ax2 + bx + c , where a, b, c, m, and k are mx + k constants. If the truth set of p(x) = 0 is {1, 2} find the values of a, b and c.
Question3.
Find all the possible solutions of x in the equation x3 + 27 = 0, where x is a complex number.
Question5.
7. (i) Given the complex numbers z1 = 3i; z2 = 2 + 4i; z3 = 5 – 3i.
Express z1z2 + z2z3 + z3z1 , in the form x + iy where x and y are real numbers.
z1 + z2 + z3
(ii) Given that cos5Ө + isinӨ equals (cos5Ө + isinӨ)5, show that
sin5Ө = 16cos4Ө - 12cos2Ө + 1, where Ө is real and is not an integral multiples of π.
sinӨ
Click here to see answer by Nate(3500) |
Question 135617: Write a quadratic equation for which the following are solutions for x: ± 3i
This one has me a bit confused. Here's what I get
x = ±i sqrt 9
x = ± sqrt -9
x^2=-9
x^2+9=0
That's not a complete quadratic equaiton, but I don't know what to do next or if I'm doing it right to begin with.
Click here to see answer by Earlsdon(6287) |
Question 135617: Write a quadratic equation for which the following are solutions for x: ± 3i
This one has me a bit confused. Here's what I get
x = ±i sqrt 9
x = ± sqrt -9
x^2=-9
x^2+9=0
That's not a complete quadratic equaiton, but I don't know what to do next or if I'm doing it right to begin with.
Click here to see answer by solver91311(16897) |
Question 136131: The horse is tethered to a rope, at one end of a square corral(outside the corral) 10 feet on a side. The horse can graze at a distance of 18feet from the corner of the corral where the rope is tied. What is the total grazing area of the horse.
Click here to see answer by vleith(2825) |
Question 136731: not sure if in right category
but when the question is like jill does this in 30 min
bob does it in 45
sue takes an hour and a half
how long does it take all of them to do it together
i have no idea how to solve this problem
Click here to see answer by stanbon(57377) |
Question 136731: not sure if in right category
but when the question is like jill does this in 30 min
bob does it in 45
sue takes an hour and a half
how long does it take all of them to do it together
i have no idea how to solve this problem
Click here to see answer by solver91311(16897) |
Question 136998: I have the following problem. It has exponents so I will try to explain where they are.
Complex Fraction:
Numerator: x to exponent -3 plus y to exponent -5
Denominator: x to exponent -2 plus y to exponent -4
I know that you cannot have negative exponents so they have to be changed to fractions within the larger fraction:
Numerator: 1 over x to exponent 3 plus 1 over y to exponent 5
Denominator: 1 over x to exponent 2 plus 1 over y to exponent 4
This is where I get stuck. I know that dividing fractions means taking the first fraction times the reciprical of the second fraction. But the computer program (I am using Coursecompass.com for my math class) wants me to find a common denominator??? Im confused why I need a common denominator, how to find it, and what to do with it.
Click here to see answer by solver91311(16897) |
Question 137105: I have the following problem and, to be honest, I dont even know where to start.
Numerator: (1 over t) minus 4
Denominator: (1 over t to exponent 3) minus 64
One thing that jumps out at me is the t to exponent 3 and the minus 64. Both of those have cube roots, but I am not sure if or how that is important.
Click here to see answer by MORUPHOSUOLALE(24) |
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