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

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 Algebra: Complex Numbers Solvers Lessons Answers archive Quiz In Depth

 Question 88429: Find the value of x. x=3s x=(a+15) s=(a-1) Click here to see answer by stanbon(57962)

 Question 88428: 9s=6a s=2x a=(x+.24) Find the value of each variable. Click here to see answer by stanbon(57962)

 Question 88516: i need to simplify (5+ the square root of -8) + (-13+4 times the square root of -2) (5+sqrt(-8))+(-13+4sqrt(-2)) Click here to see answer by rob9926(2)
 Question 88516: i need to simplify (5+ the square root of -8) + (-13+4 times the square root of -2) (5+sqrt(-8))+(-13+4sqrt(-2)) Click here to see answer by jim_thompson5910(28708)

 Question 88519: how do you simplfy i to the 91th power Click here to see answer by stanbon(57962)

 Question 88623: Solve 2(x-1)^2 = -16 over the set of complex numbers. Click here to see answer by Nate(3500)

 Question 88624: Solve x^3 - 4x^2 - 2x + 20 = 0 over the set of complex numbers. Click here to see answer by Nate(3500)

 Question 89821: How would you graph a graphical interpretation of the problem (5-6i) and (-3+i)? I worked the problem and came up with 2-5i, but am unsure how to graph it. Click here to see answer by scott8148(6628)

 Question 90171: I've been given this problem and I keep getting stuck half was down it and going back on myself, wondered i f anyone could help out with it. Given that cos x = (e^jx + e^-jx)/2 and sin x = (e^jx - e^-jx)/2j and using only this information, prove that cos^2 x - sin^2 x = 1 - 2sin^2 x Click here to see answer by kev82(148)

 Question 90285: Could someone please assist me with this question: Find the solution to this equation: 2b^2+9=0 Thank you. Click here to see answer by stanbon(57962)

 Question 90415: Hello, how do i simplify (9 - 5i)(1 + 3i) Click here to see answer by jim_thompson5910(28708)
 Question 90415: Hello, how do i simplify (9 - 5i)(1 + 3i) Click here to see answer by checkley75(3666)

 Question 90564: Hi, how do i perform the following operation and express it in standard form? 2 - 6i / 4 - 9i Click here to see answer by bucky(2189)

 Question 91561: A TOTAL OF 27,000 IS INVESTED , PART OF IT AT 12% PART OF IT AT 13%. THE TOTAL INTEREST AFTER A YEAR IS 3,385 . HOW MUCH WAS INVESTED AT EACH RATE? Click here to see answer by stanbon(57962)
 Question 91561: A TOTAL OF 27,000 IS INVESTED , PART OF IT AT 12% PART OF IT AT 13%. THE TOTAL INTEREST AFTER A YEAR IS 3,385 . HOW MUCH WAS INVESTED AT EACH RATE? Click here to see answer by bucky(2189)

 Question 92522: I find it difficult to grasp the idea of 'x raised to the power i (or multiple of i', or indeed 'x raised to the power of a general complex number'. I can understand 2^3, 3^0.5 etc., but what is the meaning of, say, 3^i, 3^(2+3i) etc. What are, say, '3^i', '3^(2+3i)', and why? How does this relate to Euler's formula? The problem comes from reading 'The Road to Reality' by Roger Penrose, ISBN no 0-224-04447-8, p90 (section 5.2 entitled 'The Idea of the Complex Logarithm'). Real logarithms - OK: complex ones I just can't quite grasp. Click here to see answer by Nate(3500)

 Question 92640: I am asked to find all solutions, real or complex: (3x+1)^2=-12 I have no idea how to even start this type of problem, your help would be greatly appreciated! Click here to see answer by ankor@dixie-net.com(15746)

 Question 92696: I need to know if my answers are correct. I am to classify each of the problems as real and rational, real and irrational, or imaginary. Are my answers correct? a. (2)^1/2 + 2 - Real and rational b. i - Imaginary c. 0 - Real and rational d. 3-(-5)^½ i - Real and imaginary e. (100)^1/5 – Real and rational f. 30007 - Real and rational g. (8)^1/3 - Real and rational h. 4+0i - Imaginary Click here to see answer by stanbon(57962)

 Question 93128: if z1=2+j, z2=3+j and z3=j3 what is the equivalent impedance z if z= z1 + z2 + z3 also if 1/z= 1/z1 + 1/z2 + 1/z3 ?? this was a question given to us for homework and it was not in any text book also i have to express my answer for z in both rectangular and polar form and draw an argand diagram Click here to see answer by stanbon(57962)

 Question 93127: if z1=2+j, z2=3+j and z3=j3 what is the equivalent impedance z if 1/z= 1/z1 + 1/z2 + 1/z3 ?? this was a question given to us for homework and it was not in any text book Click here to see answer by Edwin McCravy(8999)
 Question 93127: if z1=2+j, z2=3+j and z3=j3 what is the equivalent impedance z if 1/z= 1/z1 + 1/z2 + 1/z3 ?? this was a question given to us for homework and it was not in any text book Click here to see answer by bucky(2189)

 Question 93194: Solve each equation for x. Find any restrictions. ax+bx=c Click here to see answer by Nate(3500)

 Question 94091: two planes left an airport at noon. one flew east at a certain speed and the other flew west at twice the speed. the planes were 2700 mi apart in 3 h. how fast was each plane flying? Click here to see answer by checkley75(3666)

 Question 94100: Hello I need some assistance with this one Ta. It is asking me to: Write a full solution for the following: A journey takes 1.5 hours longer at 50kph than it does at 75kph. Find the length of the journey. Thank you Dave Click here to see answer by checkley75(3666)