Solving Rational Equations Video 3
Solving an equation that contains rational expressions
tags:
Algebra Series Common Denominator Domain Equation Quadratic Quadratic Formula Rational Function Square RootSolving Rational Equations Video 2
Author: John Fisk
This video solves the following equation containing a rational expression. You can try to solve the problems before watching the video and click "Reveal Answer" to see if you are correct.
Problem: Solve the equation \(\quad\dfrac{2}{x+3}+\dfrac{x}{x-1}=3.\)
Video Errata: At the end of the video, there is a mistake when plugging the values into the quadratic formula. There should be a \(\sqrt{57},\) instead of \(\sqrt{29}.\) Everything else in the video is correct, and you can see the correct final answer below.
\(x=\dfrac{-1-\sqrt{57}}{4},\) \(x=\dfrac{-1+\sqrt{57}}{4}\)
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WIR2 20B M251 V8
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Creating and Manipulating Symbolic Expressions in Python
Creating symbolic expression in Python and then factoring, expanding, and simplifying the expressions
Using Variables in Python
Defining variables in Python and using the variables in equations
Splitting a Domain Into Two Pieces for a Double Integral
Evaluating a double integral over a given region by splitting it into two double integrals
Making Linear Functions Video 1
Discussing how to write the equation of a line through two given points
Making Linear Functions Video 2
Writing a linear equation of profit from a business word problem
Solving Linear Equations Algebraically Video 1
Solving a linear equation algebraically and showing how this relates to the graph
Linear Forms Video 1
Explaining the main three forms for linear equations
Solving Linear Equations Algebraically Video 3
Solving a linear equation algebraically and showing how this relates to the graph
Systems of Two Linear Equations in Two Variables Video 1
Explaining the format and possible solutions for a system of two linear equations
Systems of Two Linear Equations in Two Variables Video 2
Solving a system of linear equations with two variables
Systems of Two Linear Equations in Two Variables Video 3
Solving a system of two linear equations with two variables using the elimination method
Systems of Two Linear Equations in Two Variables Video 4
Solving a system of two linear equations using a TI-84 calculator
Systems of Two Linear Equations in Two Variables Video 5
Solving a system of two linear equations using a TI-84 calculator
Systems of Two Linear Equations in Two Variables Video 6
Solving a system of two linear equations using a TI-84 calculator
Properties of Power and Exponential Expressions Video 6
Simplifying power and exponential expressions using properties of exponents
Properties of Power and Exponential Expressions Video 7
Simplifying power and exponential expressions using properties of exponents
Properties of Power and Exponential Expressions Video 8
Simplifying power and exponential expressions using properties of exponents
Properties of Power and Exponential Expressions Video 9
Simplifying an expression with both power and exponential functions using properties of exponents
Properties of Power and Exponential Expressions Video 1
Properties of exponents applied to power and exponential expressions
Properties of Power and Exponential Expressions Video 2
Properties of multiplying and simplifying power and exponential expressions
Properties of Power and Exponential Expressions Video 3
Properties of exponents applied to power and exponential expressions
Properties of Logarithmic Functions and Expressions Video 1
Explaining the terminology and rules of logarithms
Functions of Several Variables Exercise V1
Evaluating and then finding and sketching the domain of a function of two variables
Functions of Several Variables Exercise V2
Finding and sketching the domain of a function of two variables
Functions of Several Variables Exercise V4
Sketching the level curves for a function of two variables
Functions of Several Variables Exercise V5
Sketching the level curves for a function of two variables
Systems of Two Linear Equations in Two Variables Video 1
Explaining the format and possible solutions for a system of two linear equations