Solving Fractional Equations that can be reduced to Quadratic Equations

Algebraic fractions are of the form

\({\frac{A}{B},}\)

where \(A\) and/or \(B\) are algebraic expressions, and \(B\ne 0.\)

Examples are \(\frac{2}{3x+5},\frac{x-1}{2x+3},\frac{2x-1}{7}.\)

Fractional Equations are equations that have one or more algebraic fractions.

Examples are \(\frac{6}{x+4}=x+3\) and \(\frac{1}{x-2}+\frac{2}{x-3}=5\) .

In this section, we will learn how to solve fractional equations that can be reduced to quadratic equations can be solved by

1. Factorisation

2. Completing the square

3. Use of quadratic formula

4. Graphical method

Tip:

Find the LCM of the denominator and convert to a common denominator.