Tuesday, May 19, 2009

A problem on Simplifying Algebraic Fractions

Fractions is a basic section of math where student get to learn how to do fractions, types of fractions and how to simplify fractions involving algebraic terms or numeric terms as shown in the below problem.


Topic : Simplifying Algebraic Fractions

Below problem is an algebra question which explains how to do fraction.

Problem : Show the steps that you would take to solve the following algebraically




What potential solution did you obtain? Explain why this is not a solution.

Solution :










=> 3 * 2 = 2x - 3x + 9

=> 6 = - x + 9

=> - x + 9 = 6

=> - x = 6 - 9

=> -x = - 3

=> x = 3

This is not a solution because at x = 3, the denominators of the terms at the right hand side and the left hand side become ‘zero’. So, x = 3 is only a potential solution and not a solution.