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# 4.6 sqr rts with complex numbers

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### 4.6 sqr rts with complex numbers

1. 1. Imaginary Numbers 4.6 Solve by finding Square Roots (with Complex Numbers)
2. 2. Evaluate 9
3. 3. A new kind of number…  Evaluate the square root of a negative number  Imaginary number – 1i  
4. 4. Evaluate 9 1 9  9i 3i 3i
5. 5. Evaluate 18 1 18  18i 9 2i  3 2i
6. 6. Solve the equation 2 25x   2 25x    25x i  5x i 
7. 7. Solve the equation 2 52x   2 52x    52x i  2 13x i 
8. 8. Solve the equation 2 17 5x   2 12x    12x i  2 3x i  2 12x  
9. 9. Solve the equation 2 3 5 40x    2 15x    15x i  2 3 45x   2 15x  
10. 10. Solve the equation   2 6 3 42x     2 3 7x     3 7x i     2 3 7x    3 7x i  
11. 11. Complex Number  Complex means: Consisting of more than one type of “thing”  Therefore, a “complex number”, is a number that consists of more than one type of number, a real number portion and an imaginary number portion. a bi
12. 12. An interesting fact…  Complex numbers occur in pairs, called “Complex Conjugates” a bi a bi 5 3i 5 3i 2 6i  2 6i 
13. 13. Assignment p. 279 # 3 - 11