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Solving rational equations
- Lesson: 1a2:25
- Lesson: 1b3:30
- Lesson: 2a3:40
- Lesson: 2b4:47
- Lesson: 34:25
- Lesson: 4a4:12
- Lesson: 4b5:59
- Lesson: 5a1:43
- Lesson: 5b2:49
Solving rational equations
In this lesson, we will learn how to state the non-permissible value(s) of rational equations and how to solve them algebraically.
Basic Concepts: Solving quadratic equations by factoring
Lessons
Always find the non-permissible values before solving the rational equations as some answers might have to be rejected.
- 1.Solve the following rational equations:a)3−x3=1+x1b)2x+x15=13
- 2.Solving Rational Equations by cross multiplying
State the non-permissible values for the variable x, then solve algebraically.a)x+48=x−13b)6x−12x−2=9x+53x+4 - 3.Solve
x−92+x+920=x2−8180 - 4.Solve the following equations algebraically:a)x+22+x−23=1b)t−12t−3−t+23t+1=−1
- 5.Solving Rational Equations by factoring
State the non-permissible values for the variables, then solve algebraically.a)(x−1)x2−5x+4=−4b)x2−1x−1=2x−31
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30.
Rational Expressions
30.1
Simplifying rational expressions and restrictions
30.2
Adding and subtracting rational expressions
30.3
Multiplying rational expressions
30.4
Dividing rational expressions
30.5
Solving rational equations
30.6
Applications of rational equations
30.7
Simplifying complex fractions
30.8
Partial fraction decomposition