We now have another somewhat like a review on how to solve rational equations. Please remember that rational equations have variables in the numerator/denominator or both.
Steps:
- If you can, first factor the fractions on the both sides of the equation. Then/or, simplify the expressions by getting the LCD (least common denominator).
- Solve the remaining expression/Check for Restrictions.
- Simplify/Check for Extraneous Roots. (If you don't remember what Extraneous Roots is, it means that the restriction to the equation is also the answer which also means that the equation is not possible to solve. An imaginary number, not relevant or essential)
Now let's have a practice;
Solve the following equation:
Since, we cannot factor this equation anymore, we get the common denominator which is 6x.
29=x
Restrictions: x cannot equal to 0.
Let's have another one,
x cannot be equal to -2
I hope you find my explanation and examples understandable. If you still have problems in this topic please see, Rational expressions, Purple Math and Solving Equations.
Labels: Anthony, Rational Equations., Scribe
