In Completing the Square, Dr. Eaton first begins with the square root property before moving in the constant term as well as solving equations with completing the square. She then continues with equations where the coefficient 'a' is not equal to 1. Dr. Eaton finishes with complex solutions, both real and imaginary, before the four full video examples.
Imaginary numbers are the square roots of negative numbers.
All the properties of square roots extend to radicands containing complex numbers.
The complex numbers satisfy the commutative and associative properties for addition and multiplication.
To divide one complex number by another one, write the division as a fraction. Then multiply numerator and denominator of this fraction by the complex conjugate of the denominator.
Imaginary and Complex Numbers
Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture.