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Tutors Answer Your Questions about Complex numbers (FREE)
Question 189153: This question came from an exam paper in Australia:
Solve: z^2=3+5i
I presume that the question requires an answer in the form z = a + bi
I have tried, but I end up getting a square root of a square root for an exact answer, or approx. +1.1897 or -1.1897 for b and approx. +2.1013 or -2.1013 for a.
I obtained this by letting z = a + bi, and therefore z^2 = a^2 + 2abi -b^2, and therefore a^2 - b^2 equals 3, and 2ab equals 5, and then solving these two simultaneous equations.
Is there a simpler way, please?
Click here to see answer by Alan3354(6153)   |
Question 190594This question is from textbook
: Select any imaginary number (of the form "a + bi," where a and b are non-zero real numbers), and another number such that the sum, difference, product, or quotient of the two numbers is a real number.
Am very lost here. Thanks!This question is from textbook
Click here to see answer by jim_thompson5910(13809)  |
Question 190905: Hello. I am not positive I put in the right topic. We are learning complex algebraic fractions. I solved a problem, and I am not sure if i solved it correctly, and if I did I am not sure how to show the work for the check. the problem is x-1/x + 7/3x = 9/4x
we have to cancel the denominators by finding an LCD and multiplying by that.
EX: LCD for the above problem is 12x, so i would x x-1 x 12x and the x and 12 x simplify it to 12x-12.
The answer i got is 11/12, but I am not sure if it is correct.
If not, please provide help on solving it because I am quite confused, and if you don't mind please assist me in the check (if the correct solution is a fraction because my teacher goes too fast and never stops so I am not able to ask for help)
thank you so much for your help :)
~Katie
Click here to see answer by ankor@dixie-net.com(6707)  |
Question 192042: the side of a cube is increasing at a constant rate of .2 centimeters per second. in terms of the surface area s what is the rate of change of the volume of the cube in cubic centimeters per second?
a) .1
b).2
c).6
d).04
e).008
please help me on this problem your help is greatly appreciated!
Click here to see answer by Alan3354(6153) |
Question 192043: please help me solve this problem
population p grows according to the equation dp/dt=kp where k is a constant and t is measured in years. if the population doubles every 12 years then the value of k is approximately
a) 3.585
b)1.792
c)0.693
d)0.729
e)0.058
Click here to see answer by user_dude2008(716) |
Question 192966: You guys are great. Please help . Reduce /simplify the fractions or square root
1. 14/21
2. AB^2C/A^3BC
3.(x-2)(x-3)/2(x-3)
4.2x^2-2x-4/x^2-1
5. Square root of 49
6. Square root of 18
7. 36/64 this question has line on the top and sides of both.
Click here to see answer by jim_thompson5910(13809) |
Question 192966: You guys are great. Please help . Reduce /simplify the fractions or square root
1. 14/21
2. AB^2C/A^3BC
3.(x-2)(x-3)/2(x-3)
4.2x^2-2x-4/x^2-1
5. Square root of 49
6. Square root of 18
7. 36/64 this question has line on the top and sides of both.
Click here to see answer by RAY100(1637) |
Question 193128: Hi. I just started learning complex numbers and I need help understanding how
to do the following problems please=]
#1) 2x^2+9=-41
#2) 3s^2-1=7s^2
#3) -6(u + 5)^2=120
#4) (2 - 6i)-(10 + 4i)
Thank You so much,
Lynda=]
Click here to see answer by RAY100(1637) |
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