pre-cal 20s december 17, 2008

Still Working Those Equations

Derivative Works by flickr user widdowquinn

You know how to multiply binomials right?

(x + 1)(x - 3) then (x + 1)(x - 3)

And how to factor trinomials?

x - 2x -32

You know how to multiply binomials right?

(x + 1)(x - 3) then (x + 1)(x - 3)

And how to factor trinomials?

x - 2x -32

What does this:

have to do with that? http://www.youtube.com/watch?v=9qQAYEYLCoU

Fast Math to multiply numbers -- 2 Digit Numbers

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

To solve rational equations, follow these steps:

is

2. Multiply each term by the least common denominator (e.g., 6x(x – 1)) to yield an equation with all denominators equal to 1.

To solve rational equations, follow these steps:

x = 3 x = 4

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.

To solve rational equations, follow these steps:

In solving a rational equation, the denominator is cleared by multiplying both sides by the least common denominator.

To solve rational equations, follow these steps:

When simplifying a rational expression, the denominator remains (unless it cancels with a common factor in the numerator).

Note: Be careful not to confuse a rational expression and a rational equation.

`

Solve and state restrictions if any ...Solving

Equations

Solve and state restrictions if any ...Solving

Equations

Solve and state restrictions if any ...Solving

Equations

Solve and state restrictions if any ...Solving

Equations

Solve and state restrictions if any ...Solving

Equations

Solve and state restrictions if any ...Solving

Equations