7.10 C OMPLEX N UMBERS A DDITION AND S UBTRACTION.

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Presentation transcript:

7.10 C OMPLEX N UMBERS A DDITION AND S UBTRACTION

A number is in the form a represents the part b represents the part Definition of Addition in the Complex Numbers : If a, b, c, and d are real numbers, then complex real imaginary

Definition For any real numbers a and b, the of is and vice versa. If a complex number is called z, its complex conjugate is called. complex conjugate

Let

S IMPLIFY. 1.2.

S IMPLIFY. 3.4.

S IMPLIFY. 5.6.

S IMPLIFY. 7.8.

Theorem : If a, b, c, and, d are real numbers, then if and only if and.

9. Solve for x and y, where x and y are real numbers.

10. Solve for x and y, where x and y are real numbers.