   Chapter 0.6, Problem 23E

Chapter
Section
Textbook Problem

Solve the equations in Exercises 1–26. x − 4 x + 1 − x x − 1 = 0

To determine

To calculate: The solution of the equation x4x+1xx1=0.

Explanation

Given information:

The equation, x4x+1xx1=0.

Formula used:

The FOIL method,

Step1: Take product of first terms.

Step2: Take product of outer terms.

Step3: Take product of the inner terms.

Step4: Take product of the last terms.

Step5: Add all the terms.

Calculation:

Consider the expression,

x4x+1xx1=0

Rewrite the above expression as,

x4x+1=xx1

Multiplying both side of the above equation by (x+1)(x1),

x4x+1(x+1)(x1)=xx1(x+1)(x1)(x4)(x

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