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 24E
To determine

To find: The solution of the equation z2+12z+14=0.

Expert Solution

Answer to Problem 24E

The solutions of the equation z2+12z+14=0 is z=14±34i.

Explanation of Solution

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

Simplify the expression z2+12z+14=0 as follows.

Here, the value of a=1,b=12andc=14.

z2+12z+14=0z=12±(12)24(1)(14)2z=12±342z=12±34i2[34=34i]z=14±34i

Thus, the solutions of the equation z2+12z+14=0 is z=14±34i.

Have a homework question?

Subscribe to bartleby learn! Ask subject matter experts 30 homework questions each month. Plus, you’ll have access to millions of step-by-step textbook answers!