Explanation Procedure used: Add or Subtract Rational Numbers (Fraction) with unlike denominators: “1. Compute the LCD of the denominators. 2. Write fraction with the LCD as the denominator. 3. Add or subtract the numerators and write the result over the common denominator. 4. Write the result in lowest terms.” Finding the lowest common denominator ( LCD ) : “1. Find the prime factors of each denominator. 2. For each different prime factor that appears, note the highest power to which it is raised in any one of the denominators. 3. Form the product of all the different prime factors, each raised to the power found in step 2. This product is called the lowest common denominator.” Calculation: The given equation is x − 12 x 2 + x − 6 = A x + 3 + B x − 2 . The expression can be simplified as follows. x − 12 x 2 + x − 6 = A x + 3 + B x − 2 x − 12 x 2 − 2 x + 3 x − 6 = A x + 3 + B x − 2 x − 12 x ( x − 2 ) + 3 ( x − 2 ) = A x + 3 + B x − 2 x − 12 ( x + 3 ) ( x − 2 ) = A x + 3 + B x − 2 Mutliply the factor ( x + 3 ) ( x − 2 ) on both sides of the equation

11th Edition

ISBN: 9780134437705

Author: Washington

Publisher: PEARSON

See similar textbooks

Concept explainers

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.

Videos

Question

Chapter 6.7, Problem 65E

To determine

The values of A and B if x−12x2+x−6=Ax+3+Bx−2.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 6.7, Problem 63E

Chapter 6.7, Problem 66E

Students have asked these similar questions

Part 1 and 2

Advanced Mathematics Mastery Quiz Instructions: . No partial credit will be awarded; any mistake will result in a score of 0. . Submit your solution before the deadline. • Ensure your solution is detailed, and all steps are well-documented. . No Al tools (such as ChatGPT or others) may be used to assist in solving the problems. All work must be your own. Solutions will be checked for Al usage and plagiarism. Any detected violation will result in a score of 0. Problem Let the function f(x, y, z) = r³y-2xy + 3yz² +e+y+ and consider the following tasks: 1. [Critical Points and Classification] a. Find all critical points of f(x, y, z). b. Use the second partial derivative test to classify each critical point as a local minimum, local maximum, or saddle point. 2. [Gradient and Divergence] a. Compute the gradient vector Vf. b. Calculate the divergence of the gradient field and explain its significance. 3. [Line Integral Evaluation] Consider the vector field F(x, y, z) = (e² + yz, x²y ar). a.…

Chapter 6 Solutions

Basic Technical Mathematics

Ch. 6.1 - Prob. 1PE Ch. 6.1 - Prob. 2PE Ch. 6.1 - Prob. 3PE Ch. 6.1 - Prob. 4PE Ch. 6.1 - Prob. 1E Ch. 6.1 - Prob. 2E Ch. 6.1 - Prob. 3E Ch. 6.1 - Prob. 4E Ch. 6.1 - Prob. 5E Ch. 6.1 - Prob. 6E

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.

The values of A and B if x − 12 x 2 + x − 6 = A x + 3 + B x − 2 .

Concept explainers

Videos

The values of A and B if x−12x2+x−6=Ax+3+Bx−2.

Want to see the full answer?

Chapter 6 Solutions