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Chapter 9: Q.419. (page 982)

Solve by completing the square.

v2-14v=-31

Short Answer

Expert verified

The solution isv=卤32+7.

Step by step solution

01

Step 1. Given information.

The given equation isv2-14v=-31.

02

Step 2. Simplify the equation.

v2-14v=-31v2-2路v路7=-31v2-2路v路7+49=-31+49鈰�鈰�add49onbothsidesv2-2路v路7+72=18v-72=18v-7=卤18v-7=卤32v=卤32+7

03

Step 3. Simplified answer.

Hence, the required solution isv=卤32+7.

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