To find : solution to the equation algebraically and verify the result graphically.
Answer to Problem 76E
The solution to the equation
Explanation of Solution
Given information:
Concept Involved:
The word “solve” means the process of finding the value of x that makes the equation true.
In order to solve we need to undo whatever is done to x .
The solution to the equation
Formula Used:
(i)Zero factor property: If
Calculation:
Factor the Greatest Common Factor in the left side of the equation.
Use the zero factor property to set each factor to zero
Solving the equation
- There is no value of x that makes the above equation TRUE, so No solution
Solving the equation
- By subtracting1 on both sides, then
- By Simplifying on both sides, then
- By dividing -2 on both sides, and then
- By simplifying fraction on both sides of the equation
Check for extraneous solution by substituting the result in the original equation.
Graph:
Interpretation:
Setting up left side of the equation
The xcoordinate of point of intersection of two graphs is the solution to the equation
Conclusion:
The solution to the equation
Chapter 3 Solutions
EBK PRECALCULUS W/LIMITS
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning