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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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12.
Algebraic Fractions
12.1
Simplifying algebraic fractions and restrictions
12.2
Adding and subtracting algebraic fractions
12.3
Multiplying algebraic fractions
12.4
Dividing algebraic fractions
12.5
Solving equations with algebraic fractions
12.6
Applications of equations with algebraic fractions
12.7
Simplifying complex fractions
12.8
Partial fraction decomposition