1. 11-2-16 & 11-3-16 AM5.2d To Solve Rational Equations
Got ID?
Quiz on this lesson on Thursday, 11/3
Test on Functions: Friday, 11/4

2. http://patrickjmt.com and www.khanacademy.org/
Active Learning Assignment?
Let’s look at:
and

3. Find the domain restrictions.
Lesson: To Clear the Fractions:
Find the domain restrictions.
(Set denominator ≠ 0)
Cross multiply OR
Multiply EVERY term by the LCD, which allows the denominators to divide out. *

4. Set denominator ≠ 0 Thus: x ≠ 0
Find domain restrictions, solve, and check:
Domain Restrictions?
Set denominator ≠ 0 Thus: x ≠ 0
Use Literacy Strategies to outline steps.
(Cross multiply)
(Set equal to zero)
(x + 2)(x + 2) = 0
(Factor)
Check x = -2
x + 2 = 0 ü
x = -2

5. ü Find domain restrictions, solve, and check: Domain Restrictions?
Set denominator ≠ 0
Thus: x ≠ 0
Now, check 42 = x
LCD =
14x
Multiply every term by LCD: 4x
+ 42
= 5x ü
42 = x

6. Active Learning Assignment: P. 35 #15, 16
(Don’t forget the Domain restrictions)
Quiz on these lessons on Thursday, 11/3
Test on Functions: Friday, 11/4

7. Multiply every term by the LCD
Find domain restrictions, solve, and check:
Domain Restrictions?
Set denominator ≠ 0
Thus: x - 2 ≠ 0 → x ≠ 2
and x + 2 ≠ 0 → x ≠ -2
LCD?
(x + 2)(x – 2)
Multiply every term by the LCD

8. (Factor out the common term) (Set factors equal to zero & solve)
(Reduce, simplify)
(FOIL or distribute)
(Combine like terms)
(Set equal to zero)
(Factor out the common term)
2 = 0 or x = 0 or x + 2 = 0
(Set factors equal to zero & solve)
x = 0 or x = -2
No, x ≠ -2, but we need to check x = 0.
Are we finished?

9. Thus, the only solution is x = 0
We cannot use -2, because it will zero out the denominator. If we try to check it:
But, we can check x = 0 in:
0 in the denominator is undefined, therefore -2 is not a solution. ü
Thus, the only solution is x = 0

10. Active Learning Assignment:
P. 35 #15, 16, (& Domain restrictions)
Please go to these websites and explore:
&
WOW:
Keep your promises.
Quiz on these lessons on Thursday, 11/3
Test on Functions: Friday, 11/4