Chapter 4.7, Problem 12PS

### Intermediate Algebra

10th Edition
Jerome E. Kaufmann + 1 other
ISBN: 9781285195728

Chapter
Section

### Intermediate Algebra

10th Edition
Jerome E. Kaufmann + 1 other
ISBN: 9781285195728
Textbook Problem

# For Problem 1-30, solve each equation. (Objective 1) n n + 3 + 1 n − 4 = 11 − n n 2 − n − 12

To determine

To solve:

The equation nn+31n4=11nn2n12.

Explanation

Approach:

Rational expression, a quotient obtained by division of two polynomials in form of p(x,y)q(x,y) where p(x,y) and q(x,y) are polynomials in such a way that the variables x, y do not assume values such that q(x,y)=0

If ab and cd are rational, then addition or subtraction of rational formed by making the denominator equal using LCD and perform the operation on the numerators as follows:

And,

Same algebra is for rational expression.

Calculation:

The given rational expression is nn+3âˆ’1nâˆ’4=11âˆ’nn2âˆ’nâˆ’12

Factorize each term of the equation,

nn+3âˆ’1nâˆ’4=11âˆ’nn2âˆ’4n+3nâˆ’12

Restriction on the equation is that nâ‰ 4â€‰andâ€‰nâ‰ âˆ’3,

The lowest common denominator of the given equation is (nâˆ’4)(n+3)

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