MATH 1011 Lecture Notes - Lecture 4: Quadratic Formula, Coefficient, Quadratic Equation
Document Summary
Find the product of multiplying with the complex conjugate. (zbar with a bar on top stands for the complex conjugate of z) Finding the quotient of complex numbers i^2=-1. Write the quotient 2-i/3+4i in the form a+bi. If you multiply a complex number by its conjugate, you end up with a single real number. This method can be used in the previously stated problem because we want the denominator to be a real number. Whatever is multiplied in the denominator must also be multiplied by the numerator to make sure we have an equivalent fraction. A^2+b^2 is greater than or equal to 0. Separate the real part of the answer from the imaginary in your final answer. Note that if a=0, we are looking at a simpler (linear or constant) equation. So, that is why the a (is not)=0 is crucial to the definition. This only applies when you"re dealing with the number 0 on the righthand side.
