BuyFind

Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805
BuyFind

Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805

Solutions

Chapter I, Problem 20E
To determine

To find: The solution of the equation x4=1.

Expert Solution

Answer to Problem 20E

The solutions of the equation x4=1 is x=±1 and x=±i.

Explanation of Solution

Simplify the expression x4=1 as follows.

x4=1x41=0(x2)212=0(x21)(x2+1)=0

Further simplified as,

(x21)=0or(x2+1)=0x2=1orx2=1x=±1orx=±i

Thus, the solutions of the equation x2+2x+5=0 is x=±1 and x=±i.

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