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 22E
To determine

To find: The solution of the equation 2x22x+1=0.

Expert Solution

Answer to Problem 22E

The solutions of the equation 2x22x+1=0 is x=12±12i.

Explanation of Solution

The solution of the quadratic equation ax2+bx+c=0 where, a0 is x=b±b24ac2a.

Simplify the expression 2x22x+1=0 as follows.

Here, the value of a=2,b=2andc=1.

2x22x+1=0=0x=(2)±(2)24(2)(1)2(2)x=2±44x=2±2i4[4=2i]x=12±12i

Thus, the solutions of the equation 2x22x+1=0 is x=12±12i.

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