# To find the real solutions of equation x + 1 x − 1 = 3 x 3 x − 6 .

### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

#### Solutions

Chapter 1, Problem 67RE
To determine

## To find the real solutions of equation x+1x−1=3x3x−6 .

Expert Solution

The equation has no solution.

### Explanation of Solution

Given information:

x+1x1=3x3x6

Formula used:

We will solve equation by changing it to an equivalent equation.

Distributing property:- (a+b)(c+d)=a(c+d)+b(c+d)

Calculations:

=x+1x1=3x3x6

=(x+1)(3x6)=3x(x1) (cross -multiplying)

=x(3x6)+1(3x6)=3x(x)3x(1)

=3x26x+3x6=3x23x (Subtracting like terms)

=3x23x6=3x23x

(Re-writing equation)

The equation has no solution.

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