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ronho1234
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find all solutions to z^2+4z ̅+4=0 where z is a complex number. Please help with this qn I'm having difficulty. thanks
ronho1234 said:find all solutions to z^2+4z ̅+4=0 where z is a complex number. Please help with this qn I'm having difficulty. thanks
A complex number is a number that contains both a real part and an imaginary part. It is typically written in the form a + bi, where a is the real part and bi is the imaginary part (b being the imaginary unit).
To add or subtract complex numbers, simply add or subtract the real parts and the imaginary parts separately. For example, (3 + 2i) + (5 + 4i) = (3+5) + (2i+4i) = 8 + 6i.
Yes, you can multiply and divide complex numbers. To multiply, use the distributive property and the fact that i² = -1. To divide, multiply the numerator and denominator by the complex conjugate of the denominator (the same number with the opposite sign for the imaginary part).
The complex conjugate of a complex number is the same number with the opposite sign for the imaginary part. For example, the complex conjugate of 3 + 2i is 3 - 2i.
To graph a complex number, plot the real part on the x-axis and the imaginary part on the y-axis. The point (a,b) represents the complex number a + bi. You can also represent a complex number in the complex plane, where the x-axis represents the real part and the y-axis represents the imaginary part.