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 23E
To determine

To find: The solution of the equation z2+z+2=0.

Expert Solution

Answer to Problem 23E

The solutions of the equation z2+z+2=0 is z=12±72i.

Explanation of Solution

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

Simplify the expression z2+z+2=0 as follows.

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

z2+z+2=0z=1±124(1)(2)2z=1±72z=1±7i2[7=7i]z=12±72i

Thus, the solutions of the equation z2+z+2=0 is z=12±72i.

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