MTH 095 - May 26, 2009
1.
Today we will . . .
- go over questions about complex numbers so far (7.7)
- solve quadratic equations by "completing the square" (8.1)
- sign tickets to test
2.
HW Quiz (the last one!!!) scheduled for today will be Friday instead
Will cover 6.2. 6.5, 6.7, and 7.7
3.
DEADLINE for the Mod 4 Test is Friday
4.
Need a little extra help with Mod 4?
One more out-of-class review session for Mod 4!!!
Today at 1:00 in ST 102
5.
Did you ever miss an activity? There is a make-up opportunity next week.
Sign up NOW in the Learning Center. Slots are limited - so sign up SOON!
MTH 95 Make Up Activity ­ ST 217 Tues, June 2 3:30 ­ 4:20
Thurs, June 4 Fri, June 5
10:00 ­ 10:50
3:00 ­ 3:50
1:00 ­ 1:50 Jan 4­5:52 PM
May 27­10:05 AM
1
May 27­10:09 AM
May 27­10:18 AM
2
May 27­10:21 AM
More Practice with Complex Numbers (7.7)
You try these!
1.
4i(2 - 3i)
2.
(2 - 3i) + (-1 + i)
3.
(2 - 3i) - (-1 + i)
4.
(2 - 3i)(-1 + i)
May 27­9:16 AM
3
Sec 8.1: Solving Quadratics by Completing the Square
You have seen several ways of solving a quadratic equation
ax2 + bx + c = 0:
1.
2.
3.
4.
Graphing
Factoring
Square root method
Quadratic formula
In this section you'll see one more method called completing
the square.
May 27­9:22 AM
The method of completing the square means to write the
equation in a form like
(x - 3)2 = 25
How would you solve this equation? Why might this form be
easier to solve than x2 - 6x - 16 = 0 ?
May 27­9:25 AM
4
First let's review squaring some binomials:
(x + 4)2 = __________________
(x - 5)2 = __________________
(x - 1)2 = __________________
Now let's go the other way:
x2 - 20x + _____ = (
)2
x2 + 12x + _____ = (
)2
May 27­9:29 AM
Now we are ready to solve a quadratic
equation using this method.
Solve:
x2 - 6x - 16 = 0
May 27­9:32 AM
5
Attachments
Student Guide to Online Math Help Spring 2009.pdf