In future posts, please follow the format of the homework template, with a complete description of the problem in part 1 (not in the thread title), any relevant formulas or equations in part 2, and your work in part 3. The use of the homework template is required for homework problems.Jess Anon said:Find three different complex numbers that satisfy the equation in the form a + bi.
I know that:
Re(z) = a + bi = a
Im(z) = a + bi = b
Re(z) = 4Im(z)
a = 4b
I'm stuck after this point.
How do you find what is a and what is b?
Jess Anon said:Find three different complex numbers that satisfy the equation in the form a + bi.
I know that:
Re(z) = a + bi = a
Im(z) = a + bi = b
Re(z) = 4Im(z)
a = 4b
I'm stuck after this point.
How do you find what is a and what is b?
Just curious — in your mind, how is this different from what @certainly suggested, other than replacing the variable ##x## with the variable ##n##?Jess Anon said:That's alright.
I figured it out already.
z = 4 + i which means that it is 4 times the imaginary part of z.
Hence z = 4n + ni for any real value n.
The equation for finding complex numbers is Re(z) = a + bi, where Re(z) represents the real part of the complex number and Im(z) represents the imaginary part.
To solve Re(z) = 4Im(z), you can use algebraic methods to isolate the real and imaginary parts of the complex number. This will result in a solution in the form of a + bi, where a and b represent the real and imaginary parts of the complex number respectively.
Finding complex numbers is important in many scientific and mathematical fields, such as engineering, physics, and economics. They are used to represent quantities that have both real and imaginary components, and can be used to solve various equations and problems.
Yes, complex numbers can have a real part of 0. This means that the complex number is purely imaginary, and can be written in the form bi, where b is the imaginary component.
Complex numbers can be represented on a graph using the complex plane, where the real part is plotted on the x-axis and the imaginary part is plotted on the y-axis. This allows for visualizing and understanding the relationships between complex numbers.