More work on rational equations.

1. Still Working
Those Equations
Derivative Works by flickr user widdowquinn

2. You know how to multiply
binomials right?
(x + 1)(x - 3) then (x + 1)(x - 3)
And how to factor
trinomials?
x 2- 2x -3

3. Fast Math to multiply numbers
You know how to multiply
-- 2 Digit Numbers
binomials right?
(x + 1)(x - 3) then (x + 1)(x - 3)
And how to factor
trinomials?
x 2- 2x -3
What does this:
http://www.youtube.com/watch?v=9qQAYEYLCoU
have to do with that?

4. To solve rational equations, follow
these steps:
1. Remove the denominators of the rational expressions by
multiplying each rational expression in the equation by the least
common denominator.
For example, the least common denominator of the equation
is

5. To solve rational equations, follow
these steps:
2. Multiply each term by the least common denominator (e.g., 6x(x – 1))
to yield an equation with all denominators equal to 1.
x=3 x=4

6. To solve rational equations, follow
these steps:
3. Check your possible solution(s) for x. Check that neither of these
numbers will cause any of the original denominators to equal 0.
Since the restrictions are x≠1 and x≠0 it follows that x = 3 or x = 4
are the solutions to the original equation.

7. `
To solve rational equations, follow
these steps:
Note: Be careful not
to confuse a rational
expression and a
rational equation.
When simplifying a rational expression, the
denominator remains (unless it cancels with a
common factor in the numerator).
In solving a rational equation, the denominator is cleared by
multiplying both sides by the least common denominator.

8. Solve and state restrictions if any ...
Solving
Equations

9. Solve and state restrictions if any ...
Solving
Equations

10. Solve and state restrictions if any ...
Solving
Equations

11. Solve and state restrictions if any ...
Solving
Equations

12. Solve and state restrictions if any ...
Solving
Equations

13. Solve and state restrictions if any ...
Solving
Equations