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 21E
To determine

To find: The solution of the equation x2+2x+5=0.

Expert Solution

Answer to Problem 21E

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

Explanation of Solution

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

Simplify the expression x2+2x+5=0 as follows.

Here, the value of a=1,b=2andc=5.

x2+2x+5=0x=2±224(1)(5)2x=2±162x=2±4i2[16=4i]x=1±2i

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

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