Homework 12
Convert each radial to a completely simplified imaginary number.
1)
1
2)
4
3)
8
4)
 20
Solve each equation
5)
x2 = -4
7)
(x + 5)2 = -18
6) (x – 4)2 = -8
Simplify completely and write as a complex number (a + bi)
8)
5 – ( 4 + 3i)
9) (7i) – (3i)
10)
(6 – 3i) + (-8 – 9i)
11) (-2 –5i) + (7 – 3i)
12)
(-3 – 4i)(-8 + 5i)
13) (6 – 4i)(-1 + 3i)
The following problems will have imaginary roots (that means that when you use the
quadratic formula to find the x – intercepts, that there will be a negative number under
the radical sign, so that when you simplify completely, you will have two complex
numbers for solutions).
15). y = -x2 + x – 2
14). f(x) = x2 - 4x + 6
x
x
f(x)
f(x)
y - intercept_________________
y - intercept_________________
x - intercepts____________
x - intercepts____________
vertex __________
vertex_______________
Factor
16)
4 x 2  8x
4 x 2  25
17)
x 2  6x  8
2 x 2  5 x  12
19)
5x  3  5
21)
4 x  5  11
Solve Each Equation.
18)
20)
x  4  12
4 x  6  10