adam640 said:Thanks for the help, from what you've said I've gathered...
From a2+b(b-4i)+8i-15=0
0=0+0i
Therefore
From a2+b(b-4i)+8i-15=0+0i
a2-15=0
=> a = [STRIKE][tex]\sqrt{15}[/tex][/STRIKE]
b2-4b-8 = 0
b is solved with the quadratic?
Is this correct so far?
A complex number is a number that contains both a real part and an imaginary part. It is written in the form a + bi, where a represents the real part and bi represents the imaginary part, with i being the imaginary unit equal to √(-1).
To solve an equation for a complex number, you can use the same methods as solving equations with real numbers. The key is to remember that i² equals -1, and to combine like terms on each side of the equation. You may also need to use the quadratic formula to solve for the complex roots.
Complex conjugates are two complex numbers that have the same real part but opposite signs for the imaginary part. For example, 3 + 2i and 3 - 2i are complex conjugates. When multiplied together, complex conjugates produce a real number.
Yes, complex numbers can be graphed on a coordinate plane called the complex plane. The x-axis represents the real numbers, while the y-axis represents the imaginary numbers. The point where the two axes intersect is the origin, and the distance from the origin to a complex number is called its modulus or absolute value.
Complex numbers are used in many areas of science, engineering, and mathematics. They are often used in electrical engineering for analyzing AC circuits, in physics for solving mechanical problems, and in signal processing for analyzing sound and images. They are also used in finance and economics for modeling and predicting complex systems.