BuyFind

Precalculus: Mathematics for Calcu...

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

Precalculus: Mathematics for Calcu...

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

Solutions

Chapter 1.4, Problem 91E
To determine

To calculate: The expression by rationalization x2+1x

Expert Solution

Answer to Problem 91E

  x2+1x=1x+x2+1

Explanation of Solution

Given information:

Given expression is x2+1x

Consider the expression as x2+1x

Now,

  x2+1x=(x2+1x)×x2+1+xx2+1+x=(x2+1)2x2x2+1+x=x2+1x2x2+1+x=1x+x2+1

Therefore, simplest form of the expression x2+1x=1x+x2+1

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