Solving rational equations

5 videos
3 skills
Learn how to solve equations that have a rational expression, or a few of those.

How to solve an equation with one rational expression (example)

VIDEO 3:11 minutes
Sal solves the equation (14x+4)/(-3x-2)=8.

Solve equations with one rational expression (basic)

PRACTICE PROBLEMS
Solve equations that have one rational expression whose numerator and denominator are linear expressions.

How to solve an equation with a rational expression that needs simplification (example)

VIDEO 4:32 minutes
Sal solves the following equation by first simplifying the rational expression: x^2-(x^2-4)/(x-2)=4.

Solve equations with one rational expression (advanced)

PRACTICE PROBLEMS
Solve equations that have one rational expression whose numerator and denominator are polynomial expressions.

How to solve an equation with two rational expressions (example)

VIDEO 4:16 minutes
Sal solves the equation 4/(p-1)=5/(p+3).

How to solve an equation with two rational expressions incl. finding LCM (example)

VIDEO 4:08 minutes
Sal solves the equation 5/(2x)-4/(3x)=7/18 by first finding the LCM (least common multiple) of 2x and 3x.

How to solve a rational equation with an extraneous solution (example)

VIDEO 3:03 minutes
Sal solves the following equation and eliminates the resulting extraneous solution: (x^2)/(x+2)=4/(x+2).

Solve equations with two rational expressions

PRACTICE PROBLEMS
Solve advanced rational equations with multiple expressions.