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Chapter 9: Q.420. (page 982)

Solve by completing the square.

w2-20w=100

Short Answer

Expert verified

The solution isw=卤102+10.

Step by step solution

01

Step 1. Given information.

The given equation isw2-20w=100.

02

Step 2. Simplify the equation.

w2-20w=100w2-2路w路10=100w2-2路w路10+100=100+100鈰�鈰�add100onbothsidesw2-2路w路10+102=200w-102=200w-10=卤200w-10=卤102w=卤102+10

03

Step 3. Simplified answer.

Hence, the required solution isw=卤102+10.

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