# Solving rational equations

7 videos

3 skills

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

### Equations with one rational expression

VIDEO
3:11 minutes

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

### Equations with one rational expression

PRACTICE PROBLEMS

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

### Equations with one rational expression (advanced)

VIDEO
4:32 minutes

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

### Equations with one rational expression (advanced)

PRACTICE PROBLEMS

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

### Equations with rational expressions

VIDEO
5:12 minutes

Sal solves (x²-10x+21)/(3x-12)=(x-5)/(x-4), which has one real solution and one extraneous solution.

### Equations with rational expressions (example 2)

VIDEO
7:12 minutes

Sal solves (-2x+4)/(x-1)=3/(x+1)-1.

### Equations with two rational expressions

PRACTICE PROBLEMS

Solve advanced rational equations with multiple expressions.

### Equation with two rational expressions (old example)

VIDEO
4:16 minutes

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

### Equation with two rational expressions (old example 2)

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.

### Equation with two rational expressions (old example 3)

VIDEO
3:03 minutes

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