Exploring Rational Expressions

9-5..Solving Rational Equations and Inequalities

      Brittany J     

Algebra 2

*Equations that contain one or more expressions is a rational equations. It is easiest to solve if the fractions are eliminated. This can be done by multiplying by the LCD on both sides.

-Terence                          http://www.paupack.ptd.net/wams/mathquot/mathquo.htm

This quote is something that portrays me because I am someone who resists doing something if it is easy or hard.  Sometimes I am just lazy and decide not to do anything which causes me to be reluctant.  Even if it is easy I should not resist something so that it would not become difficult.

This shows perseverance but in a way that people don't always go the 100% way.  It is a trying process but then just giving up because something is hard. These problems in 9-5 are easy to try and succeed.

   Try this problem:

                    2   +  4   =   2x

                   x+2     x       x+2

1.Find the LCD

2.Multiply the LCD by the numerators

3.Distribute

4.Add like terms

5.Solve for X.

HERE IS HOW TO DO IT!!.........

1. LCD= x(x+2)

2.2x + 4(x+2) = x(2x)

3.when distributed... 2x + 4x + 8 = 2x²

4.like terms... 6x + 8 =2x²

5.move 2x² over and have the equation equal to zero....-2x² + 6x + 8 =0

6.factor the equation....(-2x - 2)(x - 4)

7.solve for X...x = -1, x = 4

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