Download Notes Over 1.5 Complex Solutions of Quadratic Equations

Notes Over 1.5
Complex Numbers
i  1
 9  9   1  3i
121  11i
i 
2
  1
i  1
2
2
Notes Over 1.5
Adding and Subtracting Complex Numbers
Write the expression as a complex number in standard form.
1. 5  4i   7  2i 
12  6i
2. 12  8i  
 6i 
6 
6  2i
3. 12 
 8 
10i 
4  10i
Notes Over 1.5
Multiplying Complex Numbers
Write as a complex number in standard form.
4.  2i5  i 
 2i  2  10i
 10i 
2
5. 2  3i 2  3i 
 9i  13
4  6i  6i 
2
6. 5  3i   5  3i 5  3i 
2

25  15i 15i 9i  16  30i
2
Notes Over 1.5
Dividing Complex Numbers
Write as a complex number in standard form.
6
7.
1 i
1 i
6  6i
1  i 1  i  i  1i 2
36 36i

21
 3 3i
Notes Over 1.5
Complex Solutions of Quadratic Equations
Solve the equation.
2
8. 12  2 y  4
12
12
2
2 y  8
2
2
2
y  4
y    4  2i
Notes Over 1.5
Complex Solutions of Quadratic Equations
Solve the equation.
9. x  2 x  3  0
2
  b2  
2
 b2   4 1a  3c 
21
a
2  8
2
4  12 
2
2
2  2i 2

 1 i 2
2
Notes Over 1.5