by denizaksulu » Thu Jul 03, 2008 4:15 pm
[quote="tessintrnc"]ice (are you making these up?)[/quote]
here you are O educated one. Remember?
Algebraic Fractions
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[color=red]Algebraic Fractions[/color]
When adding or subtracting algebraic fractions, the first thing to do is to put them onto a common denominator (by cross multiplying).
e.g. 1 + 4
(x + 1) (x + 6)
= 1(x + 6) + 4(x + 1)
(x + 1)(x + 6)
= x + 6 + 4x + 4
(x + 1)(x + 6)
= 5x + 10
(x + 1)(x + 6)
Solving equations
When solving equations containing algebraic fractions, first multiply both sides by a number/expression which removes the fractions.
Example:
Solve 10 - 2 = 1
(x + 3) x
multiply both sides by x(x + 3):
\ 10x(x + 3) - 2x(x + 3) = x(x + 3)
(x + 3) x
\ 10x - 2(x + 3) = x² + 3x [after cancelling]
\ 10x - 2x - 6 = x² + 3x
\ x² - 5x + 6 = 0
\ (x - 3)(x - 2) = 0
\ either x = 3 or x = 2