| Summary: | This lesson introduces and uses the formulas for the sum & product of the roots of a quadratic equation. The next part of the lesson deals with the discriminant of a quadratic equation and how the discriminant is used to determine the nature of the roots of a quadratic equation. The next topic is imaginary numbers based on the definition of
which leads to the set of numbers in the form a + bi.
After this lesson, you will be able to:
- use the formulas for finding the sum and product of the roots of a quadratic equation.
- find the discriminant of a quadratic equation & use that value to determine the nature of its roots, real roots, non real roots, distinct roots, equal roots, rational roots or irrational roots.
- discuss the relationship between the value of the discriminant of a quadratic equation and the x intercepts of the graph of the related function.
- simplify imaginary numbers using the definition
- define a complex number in the form of a + bi.
- add, subtract, multiply, and divide complex numbers, work involves using perfect squares, complex numbers and complex conjugates.
- solve equations with a domain in the set of complex numbers C.
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