# Questions on Algebra: Complex Numbers answered by real tutors!

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 Algebra: Complex Numbers Solvers Lessons Answers archive Quiz In Depth

 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 133210: 1. (3+2i)squared(3-2i)squared (3+2i)(3+2i)(3-2i)(3-2i) 9+6i+6i+4isquared 9-6i-6i+4isquared 9+12i+4(-1) 9-12i+4(-1) (5+12i)(5-12i) =169 Click here to see answer by solver91311(16897)

 Question 133433: One number is five more than another and their sum is three less than three times the smaller. Find the numbers. Click here to see answer by nycsharkman(136)

 Question 133432: the length of a rectangle is 3 times the width, and the perimeter is 22. Find the deminsions of the rectangle. Click here to see answer by jojo14344(1512)

 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 133626: Find the value of the complex number ratio 3-i / (1+2i)^2 Click here to see answer by stanbon(57377)

 Question 129281: Hi,I was wondering if I was doing this problem correctly. 3/4 (three fourths) times the sqrt of negative 144 The answer I got was 108i, is that correct? Thank you for your time. Click here to see answer by edjones(7569)

 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 134722: Simplify the complex fraction 1-5/a-1 divided by 3-2/a-1 I did not know if I was supposed to multiply each by 1 and work from there or what step should I take. I would appreciate any help possible Click here to see answer by vleith(2825)

 Question 134723: I do not know where to begin: a^2+2a-24/a+1 divided by a^2-a-12/(a+1)^2 I think I should divided the top and bottom by a-1 but I am not really sure Click here to see answer by vleith(2825)

 Question 134730: I do not know where to begin: 1/3-5/3x+2/x^2 divided by 1/3 - 3/x^2 Click here to see answer by ankor@dixie-net.com(15659)

 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 135692: For i= √-1, if 3i(2+5i)= x+6i, then x= Click here to see answer by vleith(2825)

 Question 135973: Q. Show that 2 - i is a root of z^4 - 8z^3 + 28z^2 - 48z + 35. Hence fond all the roots 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 136096: Q. Find all complex solutions to the equation (z + 1)^4 = 16z^4 Please help?! i understand the basics of imaginary numbers and complex numbers but am really clueless on this. Best Regards. Click here to see answer by checkley77(12569)

 Question 136433: find two imaginary numbers in the form a + bi whose product = 17. Neither a nor b may equal zero. Has me stumped. Any help is appreciated. Click here to see answer by josmiceli(9697)

 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 136916: Help me please ive tried to rearrange an equation but i keep getting lost Reaarange X = 1/2A In(q - 3) + c to obtain q Click here to see answer by dolly(163)

 Question 136751: Q1. Rearrange x = 1/2 A In (q - 3) + c to obtain q Q2. Make y the subject E = P (1 - e^(y - 1)) Click here to see answer by ankor@dixie-net.com(15659)

 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)

 Question 137248: how do i solve: (x+7)(x-6)(x-8)<= 0 the answer choices are a) x<= -7 or 6<=x<=8 b) x<= -7 or x<= 8 c) -7<=x<=6 or x>=8 d) -7<=x<=8 Click here to see answer by oscargut(891)