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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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11.
Operations with Algebraic Fractions
11.1
Simplifying algebraic fractions and restrictions
11.2
Adding and subtracting algebraic fractions
11.3
Multiplying algebraic fractions
11.4
Dividing algebraic fractions
11.5
Solving algebraic fraction equations
11.6
Applications of algebraic fraction equations
11.7
Simplifying complex fractions
11.8
Partial fraction decomposition