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Chapter 9: Q. 76E (page 885)

In the following exercise, solve by completing the square.

z2+12z=-11

Short Answer

Expert verified

The required solution isz=-1.

Step by step solution

01

Step 1. Given Information

We are given the quadratic equation

z2+12z=-11

02

Step 2. Calculation

z2+12z=-11

鈬�z2+12z+(122)2=-11+(122)2 take half of 12, square it and add it to both sides

鈬�z2+12z+36=-11+36

鈬�z2+12z+36=25 simplify

鈬�(z+6)2=25 write it as binomial squared

鈬�z+6=5 take square root on each side

鈬�z=-1 simplify

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